{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "# 第 5 节　样本统计量的性质\n",
    "## 第 3 章　使用 Python 进行数据分析｜用 Python 动手学统计学"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "### 3. 导入所需的库"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "outputs": [],
   "source": [
    "# 用于数值计算的库\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "# 用于绘图的库\n",
    "from matplotlib import pyplot as plt\n",
    "from scipy import stats\n",
    "\n",
    "sns.set()\n",
    "\n",
    "# 设置浮点数打印精度\n",
    "%precision 3\n",
    "# 在 Jupyter Notebook 里显示图形\n",
    "%matplotlib inline"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:27.013608Z",
     "end_time": "2024-04-16T17:14:27.029397Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "outputs": [],
   "source": [
    "# 总体服从均值为 4 标准差为 0.8 的正态分布\n",
    "population = stats.norm(loc=4, scale=0.8)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:27.029397Z",
     "end_time": "2024-04-16T17:14:27.034600Z"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "### 4. 多次计算样本均值"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "outputs": [],
   "source": [
    "# 存放均值的容器\n",
    "sample_mean_array = np.zeros(10000)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:27.034600Z",
     "end_time": "2024-04-16T17:14:27.041256Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "outputs": [
    {
     "data": {
      "text/plain": "array([3.922, 3.864, 4.07 , ..., 4.136, 4.575, 4.099])"
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 抽取 10 个数据并计算均值, 此操作重复 10,000 次\n",
    "np.random.seed(1)\n",
    "for i in range(0, 10000):\n",
    "    sample = population.rvs(size=10)\n",
    "    sample_mean_array[i] = np.mean(sample)\n",
    "sample_mean_array"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:27.042258Z",
     "end_time": "2024-04-16T17:14:27.446713Z"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "### 5. 样本均值的均值与总体均值相近"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "outputs": [
    {
     "data": {
      "text/plain": "4.004"
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 样本均值的均值\n",
    "np.mean(sample_mean_array)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:27.447724Z",
     "end_time": "2024-04-16T17:14:27.457412Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "outputs": [
    {
     "data": {
      "text/plain": "0.251"
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 样本均值的标准差\n",
    "np.std(sample_mean_array, ddof=1)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:27.458411Z",
     "end_time": "2024-04-16T17:14:27.463124Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\HP\\AppData\\Local\\Temp\\ipykernel_13344\\917174300.py:2: UserWarning: \n",
      "\n",
      "`distplot` is a deprecated function and will be removed in seaborn v0.14.0.\n",
      "\n",
      "Please adapt your code to use either `displot` (a figure-level function with\n",
      "similar flexibility) or `histplot` (an axes-level function for histograms).\n",
      "\n",
      "For a guide to updating your code to use the new functions, please see\n",
      "https://gist.github.com/mwaskom/de44147ed2974457ad6372750bbe5751\n",
      "\n",
      "  sns.distplot(sample_mean_array, color='black')\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Axes: ylabel='Density'>"
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 样本均值的样本分布\n",
    "sns.distplot(sample_mean_array, color='black')"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:27.464125Z",
     "end_time": "2024-04-16T17:14:27.743002Z"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "### 6. 样本容量越大，样本均值越接近总体均值"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "outputs": [
    {
     "data": {
      "text/plain": "array([    10,    110,    210, ...,  99810,  99910, 100010])"
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 公差是 100 的样本容量, 范围是 10 到 100,010\n",
    "size_array = np.arange(start=10, stop=100100, step=100)\n",
    "size_array"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:27.739419Z",
     "end_time": "2024-04-16T17:14:27.746038Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "outputs": [],
   "source": [
    "# 存放样本均值的容器\n",
    "sample_mean_array_size = np.zeros(len(size_array))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:27.745534Z",
     "end_time": "2024-04-16T17:14:27.749043Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "outputs": [],
   "source": [
    "# 改变样本容量的同时计算样本均值\n",
    "np.random.seed(1)\n",
    "for i in range(0, len(size_array)):\n",
    "    sample = population.rvs(size=size_array[i])\n",
    "    sample_mean_array_size[i] = np.mean(sample)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:27.750042Z",
     "end_time": "2024-04-16T17:14:28.969018Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "outputs": [
    {
     "data": {
      "text/plain": "Text(0, 0.5, 'sample mean')"
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(size_array, sample_mean_array_size, color='black')\n",
    "plt.xlabel(\"sample size\")\n",
    "plt.ylabel(\"sample mean\")"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:28.969018Z",
     "end_time": "2024-04-16T17:14:29.139402Z"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "### 7. 定义用于计算样本均值的函数"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "outputs": [],
   "source": [
    "# 用于计算样本均值的函数\n",
    "def calc_sample_mean(size, n_trial):\n",
    "    sample_mean_array = np.zeros(n_trial)\n",
    "    for i in range(0, n_trial):\n",
    "        sample = population.rvs(size=size)\n",
    "        sample_mean_array[i] = np.mean(sample)\n",
    "    return (sample_mean_array)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:29.137453Z",
     "end_time": "2024-04-16T17:14:29.141918Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "outputs": [
    {
     "data": {
      "text/plain": "4.004"
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 验证函数功能\n",
    "# 抽取 10 个数据并计算均值, 此操作重复 10,000 次, 再求这 10,000 个结果的均值\n",
    "np.random.seed(1)\n",
    "np.mean(calc_sample_mean(size=10, n_trial=10000))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:29.142919Z",
     "end_time": "2024-04-16T17:14:29.540998Z"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "### 8. 不同样本容量所得的样本均值的分布"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   sample_mean     size\n",
      "0     3.922287  size 10\n",
      "1     3.864329  size 10\n",
      "2     4.069530  size 10\n",
      "3     3.857140  size 10\n",
      "4     4.184654  size 10\n"
     ]
    }
   ],
   "source": [
    "np.random.seed(1)\n",
    "# 样本容量 10\n",
    "size_10 = calc_sample_mean(size=10, n_trial=10000)\n",
    "size_10_df = pd.DataFrame({\"sample_mean\": size_10, \"size\": np.tile(\"size 10\", 10000)})\n",
    "# 样本容量 20\n",
    "size_20 = calc_sample_mean(size=20, n_trial=10000)\n",
    "size_20_df = pd.DataFrame({\"sample_mean\": size_20, \"size\": np.tile(\"size 20\", 10000)})\n",
    "# 样本容量 30\n",
    "size_30 = calc_sample_mean(size=30, n_trial=10000)\n",
    "size_30_df = pd.DataFrame({\"sample_mean\": size_30, \"size\": np.tile(\"size 30\", 10000)})\n",
    "\n",
    "# 拼接表格\n",
    "sim_result = pd.concat([size_10_df, size_20_df, size_30_df])\n",
    "\n",
    "# 打印结果\n",
    "print(sim_result.head())"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:29.554926Z",
     "end_time": "2024-04-16T17:14:30.747127Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "outputs": [
    {
     "data": {
      "text/plain": "<Axes: xlabel='size', ylabel='sample_mean'>"
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkMAAAG1CAYAAAD6GvACAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/SrBM8AAAACXBIWXMAAA9hAAAPYQGoP6dpAAB9+klEQVR4nO3dd3hTZf8G8DujbboX3YVCW1qgUCiyqoiICLy4ABcOBFR4FRRFma+gwMsQBAVBAQVBWT8cDFFAwY1CAVEQ6aILSvdM27Rpxvn90TexpS20aZOTNvfnunpdJTlJvgmnyZ3nPOf7SARBEEBERERko6RiF0BEREQkJoYhIiIismkMQ0RERGTTGIaIiIjIpjEMERERkU1jGCIiIiKbxjBERERENo1hiIiIiGwawxARERHZNLnYBbQVgiBAr2ezbiIiorZCKpVAIpHcdDuGoSbS6wUUFVWIXQYRERE1kZeXM2Sym4chHiYjIiIim8YwRERERDaNYYiIiIhsGsMQERER2TSGISIiIrJpDENERERk0xiGiIiIyKYxDBEREZFNYxgiIiIim8YwRERERDaNYYiIiIhsGsMQERER2TSGISIiIrJpDENERERk0xiGyKJ27PgIu3ZtF7sMIiIiI4Yhsqgff/wO339/TOwyiIiIjBiGiIiIyKYxDBEREZFNYxgiIiIim8YwRERERDaNYYiIiIhsGsMQERER2TSrCEO5ubmIjIys97Nv374Gty8uLsarr76K/v37Y8CAAVi8eDEqKyvrbHPkyBGMHj0a0dHRGDNmDE6ePGmJp0JERERtjFzsAgAgISEBDg4OOH78OCQSifFyV1fXBrefMWMGKisrsX37diiVSrz22mtQqVRYuXIlAODUqVOYPXs25syZg9tuuw2ff/45pk6digMHDiAsLMwiz4mIiIjaBqsYGUpKSkLnzp3h6+sLHx8f449Coai37R9//IHTp09j5cqViIqKQmxsLJYsWYKDBw8iNzcXAPDhhx9i+PDheOqppxAWFoa5c+ciKioKH3/8saWfGhEREVk5qwhDiYmJTR6xOXv2LHx8fOpsP2DAAEgkEvz+++/Q6/U4d+4cYmNj69xu4MCBOHPmTKvWTURERG2fVRwmS0pKgqenJ5544gmkpaUhJCQEzz//PIYMGVJv29zcXAQEBNS5zN7eHh4eHsjOzoZSqYRKpYK/v3+dbXx9fZGTk9OiOuVyq8iO7QJfSyIishaihyGtVovU1FSEh4dj3rx5cHFxwddff42pU6di27Zt9UZ4KisrYW9vX+9+HBwcoFarUVVVBQD1tjFcbyqpVAJPT2eTb0918bUkIiJrIXoYksvliIuLg0wmM84R6tmzJ5KTk7F169Z6YUihUKC6urre/ajVajg5OcHBwQEA6m2jVqvh6Ohocp16vQClUmXy7amu4uIKsUsgIqJ2zs3NETLZzY9EiB6GAMDZuf4oQdeuXXHixIl6l/v7++P48eN1LquurkZJSQl8fX3h4eEBJycn5OXl1dkmLy8Pfn5+LapTq9W36Pb0D76WRERkLUSfuJGcnIy+ffsiLi6uzuUXL15EeHh4ve379++PnJwcZGRkGC87ffo0AOCWW26BRCJB3759jZcZxMXFoV+/fmZ4BkRERNSWiR6GwsLCEBoaiiVLluDs2bNISUnBihUr8Oeff+L555+HTqdDfn6+cS5Q79690bdvX8ycORMXLlzAqVOn8Prrr2PMmDHGkZ/Jkyfj66+/xrZt25CSkoJVq1YhPj4eEydOFPOpEhERkRUSPQxJpVJs2rQJ0dHRePnllzF27FicP38e27ZtQ0REBLKzszF48GAcPnwYACCRSLBhwwYEBwdj4sSJePnllzFkyBAsWrTIeJ+DBw/G8uXLsWfPHowdOxanTp3Cpk2b2HCRiIiI6pEIgiCIXURboNPpUVTESb8t9cwzTwAAtm7dJXIlRETU3nl5OTdpArXoI0NEREREYmIYIiIiIpvGMEREREQ2jWGIiIiIbBrDEBEREdk0hiEiIiKyaQxDREREZNMYhoiIiMimMQwRERGRTWMYIiIiIpvGMEREREQ2jWGIiIiIbBrDEBEREdk0hiEiIiKyaQxDREREZNMYhoiIiMimMQwRERGRTWMYIosRBEHsEoiIiOphGCKLqR2GGIyIiMhaMAyRxeh0OuPvDENERGQtGIbIYvT6f8JQ7WBEREQkJoYhshidTl/rd4YhIiKyDgxDZDG1A1DtUSIiIiIxMQyRxWi12gZ/JyIiEhPDEFmMTqet9TtHhoiIyDowDJHF1A5AHBkiIiJrwTBEFqPRVNf6XSNiJURERP9gGCKLqT0axDBERETWgmGILKa6uvbIUPUNtiQiIrIcqwpDaWlpiImJwb59+xq8fv369YiMjGzwZ/78+cbtJk+eXO/6CRMmWOppUCNqh6HavxMREYlJLnYBBhqNBrNmzYJKpWp0m6effhrjx4+vc9m2bduwZ88eTJo0yXhZYmIiFi1ahOHDhxsvs7Oza/WaqXnUarXx9+pq9Q22JCIishyrCUPr16+Hi4vLDbdxdnaGs7Oz8d+XLl3CJ598gv/+97+IjIwEABQWFqKwsBC9e/eGj4+PWWum5qkdgGoHIyIiIjFZxWGyM2fOYO/evXjzzTebdbslS5agX79+GDt2rPGyxMRESCQSdOnSpbXLpBZSq6tq/c4wRERE1kH0kSGlUok5c+ZgwYIFCAgIaPLtfvjhB/zxxx84cOBAncuTkpLg6uqKJUuW4Ndff4WTkxNGjRqFadOmwd7evkW1yuVWkR3brNojQ9XVar6eRERkFUQPQ4sWLUJMTAzuu+++Zt1u27ZtuPPOO9G9e/c6lyclJUGtViM6OhqTJ09GfHw8Vq1ahaysLKxatcrkOqVSCTw9nW++Id3AP00XJRIdX08iIrIKooahAwcO4OzZszh06FCzbpeVlYW4uDh88MEH9a5bsmQJ5s6dC3d3dwBAREQE7OzsMHPmTMyZMwcdOnQwqVa9XoBS2fjkbrq54mJlnd+LiytErIaIiNo7NzdHyGQ3Pwohahj64osvUFhYiKFDh9a5/I033sDhw4exZcuWBm93/PhxeHl54bbbbqt3nVwuNwYhg65duwIAcnJyTA5DAKDV6k2+LQGVlZXG31UqFV9PIiKyCqKGodWrV6OqqqrOZSNGjMCMGTNw//33N3q7s2fPYsCAAZDL65c/YcIEBAcHY8WKFcbL/vrrL9jZ2aFz586tVjs1X+0wVFVVeYMtiYiILEfUMOTn59fg5d7e3vDz84NOp0NRURFcXV2hUCiM11+6dAkPPvhgg7cdOXIkli9fjujoaAwePBh//fUXVq1ahWeeeeamp+6TedUOQCoVwxAREVkH0SdQ30h2djbuuusurFixAuPGjTNenp+fDw8PjwZv8+STT0IikWDHjh1Yvnw5fHx8MGnSJEydOtVCVVNjVCoVpFIpBEHgyBAREVkNiSAIgthFtAU6nR5FRZzw2xILFsxGQUE+BEGAv38AFi9uXl8pIiKi5vDycrb+CdRkWyorK40jQzdadoWIiMiSGIbIYlQqFeRyGQRBQGUlwxAREVkHtgAmi9DpdKiuVkMmk0Emk6Gqqgp6PU+tJyIi8TEMkUUYTqs3hCFBEOqsVUZERCQWhiGyCMNhsYqKCuOIEOcNkTVISLiEd99dzXBOZMMYhsgiDGFIo9EYG21y3hBZg82bN+D8+T9w7txZsUshIpEwDJFF1B4FMnRz4MgQWQOlshQAoNVqRa6EiMTCMEQWUTv4SCSSepcRiY0t14hsF8MQWYRK9U/Dyn/CEJtYkvUw7JdEYlOr1di8eQNSUy+LXYrNYBgii2hoFIhhiKwJR4bIWpw5cwqnT5/E5s0bxC7FZjAMkUU0NDJUUcEwRNaDI0NkLaqr1QCAgoJ8kSuxHQxDZBG1gw/DEBERWROGIbKI8vKyepdVVJSLUAlRw3iYjMh2MQyRRdQOQ4aRoYYCEpFYeJiMrAf3RUtjGCKLKCurG4akUinKyzkyRNaDI0NkPbgvWhrDEFmEUlla55u3XC5HaWmJeAURXYcjQ0S2i2GIzE6v19cLQ3Z2dlAqS/ltnKwG90Ui28UwRGZXVqaEIAj1wpBOp+OhMiIiEh3DEJldcXERgLqHIezt7f93XaEoNRFdT6/XiV0CEYmEYYjMztA4rKEwVFBQIEpNRNdTq6vFLoGIRMIwRGZXWFgTeBoKQ4WF7LBK1sHQ9ZdIbJy+ZnkMQ2R2hpEhqfSf3c3BwQEAkJ+fJ0pNRNerqqoSuwQiEgnDEJldTk42gLojQ4YwlJubI0pNRNerqqoUuwQiAAC7PFgewxCZXU5ONuzt7euEIZlMBjs7O4YhEpVerzf+zrXyyHowDVkawxCZlVqtRlFRoXEkqDaFQoGCgnxoNJy4SuKorKys9btKxEqIauOkIUtjGCKzys6+BgBwdHSsd51CoYAgCMjOzrJ0WUQA6i4WzIWDyVpwArXlMQyRWV29egVAw2HIcFlm5lWL1kRkULvpJxuAkrXgnCHLYxgiszIEnRuFIUNgIrK02qNBDENEtothiMwqIyMNgOSGYahmGyLLqx2GKitVdSZUE5HtsKowlJaWhpiYGOzbt6/Rbb788ktERkbW+8nMzDRuc+TIEYwePRrR0dEYM2YMTp48aYny6TparRbp6alwcnKs02PIQCaTwdHREWlpqdDpuBQCWZ5KVXfSdO0J1UTi4XEyS7OaMKTRaDBr1qx6b07XS0xMxIABA3DixIk6PwEBAQCAU6dOYfbs2Rg/fjz279+P2NhYTJ06FSkpKZZ4GlRLZuZVaDQaODs7N7qNs7MzqqvVyMrKbHQbInMxnEFmZ2dX599EZFusJgytX78eLi4uN90uKSkJkZGR8PHxqfMjk8kAAB9++CGGDx+Op556CmFhYZg7dy6ioqLw8ccfm/sp0HWSkxMB4IZhyPB/btiWyJIMjRYNy8NwZIjINllFGDpz5gz27t2LN99886bbJiYmIiwsrMHr9Ho9zp07h9jY2DqXDxw4EGfOnGmVWqnp/v77LwCAq6tro9sYrjNsS2RJhiU4DCND7EJN1oHn1luaXOwClEol5syZgwULFhgPdTWmtLQUubm5OHv2LHbv3o3i4mJER0dj9uzZ6NKlC5RKJVQqFfz9/evcztfXFzk5Le90LJdbRXZsE6qrq5GQcAmOjo7Gb90Nsbe3h0KhQHz83wD0kMtF3yXJhhjCkGEfra5W8++cRFd7jiX3R8sQ/ZNn0aJFiImJwX333XfTbZOTkwEAgiBgxYoVqKqqwsaNG/H444/j0KFD0Gq1AFDvw9fBwQFqdctWpJZKJfD0bPxwD9X1xx9J0Giq4eXld9Nt3dzckJeXh+zsDERHR1ugOqIaWm3N+4LhPUMi0fLvnETn6Ghn/J37o2WIGoYOHDiAs2fP4tChQ03avl+/fjh58iQ8PT2N61xt2LABQ4cOxb59+/Dwww8DqBmVqE2tVjd4andz6PUClEpOrmyqH3/8BQDg7u5+023d3d2Rl5eHH374GR07NnwIlMgcSkpKAQBFRUUAgPz8IhQXc40yEpdS+c8+yP2xZdzcHCGT3Xx0TdQw9MUXX6CwsBBDhw6tc/kbb7yBw4cPY8uWLfVu4+XlVeffjo6OCA4ORm5uLjw8PODk5IS8vLw62+Tl5cHP7+YjFDej1bIHSVPodDqcORMHOzu7Jk2Kd3V1hVwux5kzpzB+/IQGT8MnMoeSkhJIJBLjWazFxSX8OyfRVVdrjL9zf7QMUT91Vq9ejcOHD+PAgQPGHwCYMWMGli1bVm/7vXv3YuDAgXVOvy8vL0d6ejrCw8MhkUjQt29fnD59us7t4uLi0K9fP7M+F/pHYmI8ysvL6ozg3YhEIoGnpyeUSiWSkuItUCFRzeH24uKiOpcZRoiIxHT90Q0yP1HDkJ+fH0JCQur8AIC3tzf8/Pyg0+mQn59vnOQ4ZMgQ6PV6zJkzB8nJyfjrr7/w4osvwsvLC+PGjQMATJ48GV9//TW2bduGlJQUrFq1CvHx8Zg4caJoz9PWnDr1KwDA09OzybcxbHvy5K9mqYnoeqWlJdBoNHVGIvPzc0WsiKiGWl0ldgk2x6qPR2RnZ2Pw4ME4fPgwACAgIADbt2+HSqXCY489hkmTJsHV1RWffPIJHBwcAACDBw/G8uXLsWfPHowdOxanTp3Cpk2bGj0dn1pXVVUVzpyJg4ODww37C13PxcUF9vb2OHs2jm8EZBFZWdcAwDh6KZFIkJ19TcySiAAAKhVbPFia6GeTXS8x8Z/me8HBwXX+DQBRUVH46KOPbngfY8aMwZgxY8xRHt3E77+fRnW1GoGBgU06RGYgkUjg7e2N7OxsnDt3FrGxg81YJRFw7VrNIsKGkSGpVIqysjKUlpbA3d1DxMrI1tVeM0+n0xmbCpP5WPXIELU9J078BKDmUGdzGW5z4sTPrVoTUUNSU2uW6KkdhgAgLY1L95C4ysvLav1efoMtqbUwDFGryc/PQ1JSAlxdXW/YaLExDg4OcHFxQWLiJRQU5JuhQqJ/pKZehlwuN45gGsJQSsplMcsiQlmZssHfyXwYhqjV/PprzYiOKaNCBh06dIAgCDh58kRrlUVUT3FxEQoK8uHi4lInDEkkEq6TR6JTKksb/J3Mh2GIWoVer8dvv/0CmUzWrLPIrufh4QGpVIYTJ36GIHB9HjKPpKQEAKjTB0sikcDR0RGpqSnQaHhqM4lDo9HUWTC4rKzsBltTa2EYolaRnJyIwsICeHp6tqhpYk2Y8kBBQR4uX05qxQqJ/pGYWNPP6vpFhF1dXaHTaXmojERjOCxmeB8tL+dhMktgGKJWYTisdX2HcFMYDrMZ+hURtbb4+EuQyWT1lukxhKOEhEtilEVknDytUCgAcGTIUhiGqMU0mmqcPRsHe3v7Ji2/cTOGnkOnT580Lr5L1FqKigqRl5dTZ76QgeEyhiESi+HsMUMYqn1mGZkPwxC12IUL51FZWQkvL69m9RZqjGF5DpVKhb/++rPlBRLVEh//NwDAzc2t3nUymQxOTk5ISUk2dr4nsqTS0hIAMI5alpZyArUlMAxRi8XF/QagdQ6RGRjuKy7uZKvdJxHwTxi6fr6QgaurK/R6PZKTEyxZFhGAf8KQQqGARCJBSUmxuAXZCIYhapHKShXOnz8HR0fHevMvWsLR0REKhQJ//vl7nTMriFpCr9fj778vwM7OzngY4nqGEaOLF/+yZGlEAGr6tQE1fdfs7e2N/ybzYhiiFjl37iy0Wm2rjgoBNYfKvLy8oNFo8McfZ1v1vsl2Xb2aAaVSCTc3t0YP6bq4uEAmk/EQLYkiNzcHAJCZmQm5XI6yMiVUKpXIVbV/DEPUIoZGiy3pLdQYQ8D67bdfWv2+yTb9+ec5AIC7u3uj20gkEri6uiI3NwfZ2VmWKo0IgiDgypV0SCQSKJVKVFfX9Lu6ejVD5MraP4YhMll+fh4SE+Ph6uoKBweHVr9/w/IcCQlcnoNaThAEnD59ElKptMHJ07UZwv3p05yzRpaTn5+HiooKY48hw+gl18szP4YhMplhVKhDhw5mewzD8hwcHaKWyshIR05ONtzd3W+6Cri7uzukUilOnfoVer3eQhWSrTO0dDCEIcN+ylYP5scwRCbRarX4+ecfIJPJ4OHhYbbH8fDwgEwmw88//8CeQ9Qi3333DYCmhXfDsjJ5ebn4+29OpCbLuHjxAoB/QpBhiZiEhEtcIsbMGIbIJGfOnEJpaQk6dOjQouU3bkYmk8Hb2xvFxUX4/fczZnscat9KSooRF3cSCoWi0VPqr+fr6wsAOHbsiDlLIwIAqNVq/PXXeTg4ONR5T3V3d4dGozEGJTIPhiFqNkEQ8O23hyGRSIwfGOZkeIxvvz3MxVvJJF9+uQ86nRZ+fn5Nbgzq5OQEV1dX/P33XzxMQWZ3/vw5VFer652Za5i/xp5r5iU39YZpaWn46aefoFKp6h1Tl0gkmD59eouLI+sUH/83rlzJgKenJ+zt7c3+eA4ODvDw8EB6eiqSkhIQGdnd7I9J7ce1a5n4+ecf4OjoaFz3rqmCg4MRHx+PvXt3YeHC/5p1FJRs24kTPwGoOYu2dtdpQ8+1P/44i/LyMri4NG1kk5rHpDB08OBBzJs3r9Fv6QxD7ZcgCDhw4HMAgL+/v8Ue19/fHyUlJThw4HPMmbOgVZb9oPZPr9fj44+3QBAEBAUFNXu/cXJygre3N65cScf333+L4cNHmalSsmWGuWkuLi71moFKJBL4+Pjg6tWr+PXXnzFy5D0iVdm+mfQ15/3338ett96KH374AfHx8UhISKjzEx8f39p1kpW4ePECUlKS4eHhAScnJ4s9rrOzM9zd3ZGUlGBcToHoZo4e/RopKcnw8vK6YW+hGwkKCoKdnR0+//z/2HeIzOL48ZrJ/T4+Pg1e7+XlBalUiu+++xY6nc6SpdkMk8JQVlYWnn32WQQEBPAbug2pPSoUGBho8cc3POb+/Z9x7hDdVHp6Kg4c+Ax2dnbo2LGjyfdjZ2eHTp06QaPR4IMP3uNZPdSqysvL8MsvP8De3r7R5rVyuRwdOnRAYWEBzp6Ns3CFtsGkMNSlSxdkZ2e3di1k5c6ejUN6eio8PT1bdR2ypnJycoKnpydSUy/j3Dku0UGNKysrw3vvrYVOp0Pnzp0hl5s8PRJATYuHDh064MqVdOza9XErVUkEfPvtEVRXV990cr+vry8kEgkOHTrA3ldmYFIYevXVV/H+++8jLi4OarW6tWsiK6TRaPD55/8HiUSCoKAg0eowzPv4/PM97DtEDdLr9fjww/dQVFSIwMDAm3abbqqOHTvCyckJv/zyI3755cdWuU+ybcXFxfj228Owt7e/af8rBwcHeHt7Izv7GpvQmoFJX5eWLVuGwsJCTJo0qcHrJRIJLl3iqajtyQ8/HEdBQT78/PzMsvRGUzk4OMDHxwd5ebn46afvcNddI0WrhazT/v2f4e+//4K7u3urTvKXSqUIDQ1FQkICduzYhqCgjggNDWu1+yfb8/nne6DRaBASEtKkMxUDAgJQVFSEffs+Rd++/eDk5GyBKm2DSWHo/vvvb+06yIqVl5fj0KF9kMvlFj2DrDEBAQEoLCzEwYP7EBs7mG8IZHT2bBwOH/4SCoUCXbp0afU5jQ4ODujSpQuSk5Px3nvv4PXXl5k8MZts24ULf+LUqV/h7Ozc5JYP9vb2CAgIwLVr1/Dpp7sxadIUM1dpO0wKQy+88EJr10FW7KuvDkClUiE4OLjFcy9ag1wuR0BAADIzM/H11wfx8MOPi10SWYHs7Cxs3boZMpkMYWFhN11/zFRubm4IDg5GZmYmNm16F7Nm/cdsj0XtU1mZEh9/vAUSiQQhISHNCu1+fn4oLi7GL7/8iJiYfujdO8ZsddoSkzuIqdVqXLhwAWfPnsWZM2dw5swZxMXF4ccff8Tq1atbs0YSUW5uDr7//lvj4Slr4ePjAwcHBxw79g3y8/PELodEplZX4b331qK6Wo2QkJB6vVpam6+vLzw8PJCUlGA8w5KoKfR6PTZvfg8lJcUIDAxs9skoEokEnTt3hlQqxZYt76OgIN9MldoWk77mx8XF4aWXXqrTJbM2Z2dnzJo1q0WFkXX44ou90Ol0TT6mbSlSqRSBgYFIS0vDvn2f4t//5milrRIEATt2bEN29jX4+vo2enpyazJ8IMXHx+Pw4S8RHh7Bb+jUJAcOfI74+Ivw8PCAn5+fSffh6OiITp06IT09He+9txbz5r0u6lzO9sCkT7d33nkHnp6eePfddzF8+HCMGDECmzZtwuOPPw6JRIIPP/ywteskEaSmpuD330/D2dnZrCvTm8rT0xPOzs44ffok0tPTxC6HRHLixE84efIEnJ2dERwcbLHHlclkCA0NhVQqxdatG1FUVGixx6a26dSpX/H11wehUCiafXjset7e3vDx8cGVK+n46KPNPN2+hUwKQ4mJiXjhhRdw9913484770R2djbuuOMOLFy4EA899BA2btxoUjFpaWmIiYnBvn37Gt0mOTkZU6dOxcCBAxEbG4sZM2YgK+ufrrA6nQ7R0dGIjIys87N+/XqTarJVgiDgiy/+D0DN+kzW2Fyz9mn+hlrJtmRmXsGuXdshl8sRGhpq8f3UyckJHTt2REVFBTZtWs92D9So1NTL2LbtA+OcttaYf9mxY0e4urri7Nk4fPll45+bdHMmhSG9Xm8c3gsJCUFycrLxupEjR5p0Wr1Go8GsWbOgUqka3aa4uBiTJ0+GQqHAjh078OGHH6KoqAjPPvussd9Reno61Go1Dh48iBMnThh/nn766WbXZMsMK3W7u7vDxcVF7HIa5erqCjc3N1y6dBGXLl0UuxyyoPLyMqxf/7bx1GRLLBrcEG9vb3h5eSElJRl79uwQpQaybgUF+Xj33TXQ6XQIDQ1ttTltEokEoaGhcHBwwKFD+3Hq1K+tcr+2yKQw1KlTJyQmJgKo6UZdWVmJ1NRUAIBWq0VFRUWz73P9+vU3/dA9fvw4VCoVVq1ahYiICPTs2RNvvfUWUlJScO7cOQA1o1YuLi7o1q0bfHx8jD/Ozjz9uqkEQcD+/Z8CgKgNFpvKUOP+/Z9ymQ4bodVqsXHjuygoyEdAQICoh3ENZwQ5OTnhxx+P48cfj4tWC1kflUqFd99djbIyJTp27NhqTUAN5HI5wsPDIZPJ8NFHHyA5ObFV799WmBSG7rvvPqxevRo7d+6El5cXevbsif/+97/4/vvv8d577yE8PLxZ93fmzBns3bsXb7755g23i42Nxfvvv18nVRsm9SqVSgA1YSgsjI3QWuLPP39HenoavLy8RFl2o7n+WaYjBRcu/CF2OWRmhpXoExIuwcPDAwEBAWKXBKlUirCwMNjZ2WHXro/xxx9cLoYAjaYa69evwbVrmfD19TXbGbkKhQJhYWHQ63VYt241rl3LNMvjtGcmHbR89tlnUVxcjPPnz+PJJ5/EG2+8gSlTpmDatGlwcXFp1pwhpVKJOXPmYMGCBTd9UwsODq43QfKDDz6AQqFA//79AQBJSUnQarV45plnkJCQAD8/P0ycOBEPPPBA85/odeRy6zmbylz0ej0OHvwCAKziQ6apAgICUFxcjAMHvkDfvrdY5RwnajlBELBr18f47bdf4OzsjM6dO1vN/7W9vT3CwsKQnJyMjRvX45VXZqNnz2ixyyKR6HQ6bNmyEUlJCfD09DT75H5XV1d07twZaWlpeOedlViwYBE6dLCedijWzqQwJJVKMXfuXOO/e/XqhePHjyM1NRWhoaHNmmOyaNEixMTE4L777mt2HTt27MDOnTuxYMECeHl5AaiZYK3X6zFjxgz4+/vjp59+wvz586HRaPDQQw81+zEMpFIJPD3b/6G2EydO4OrVK/D29jZ7r5bW5OjoCC8vL1y5ko6EhAu49dZbxS6JWpler8fWrVvx/ffH4eTkZDw0YE2cnZ0RFhaGy5cvY926NVi4cCF69+4tdllkYdXV1Vi16h2cPXvaGFIsEdq9vLyg0WiQmZmJ5csX47///a9Fz7Bsy1o0nb20tBRnz55FXl4eRo4cCRcXl2bNzTlw4ADOnj2LQ4cONetxBUHAunXrsHHjRjz//POYMGGC8bqvvvoKOp3OWEe3bt2QlZWFrVu3tigM6fUClMrGJ3e3B3q9Hjt37oJEImlTo0IGgYGBKC4uxo4dOxEZ2cuq+iJRy+h0Onz00Qc4ceJnODo6omvXrlbRDb0hrq6uCA0NRWpqKhYtWoxp015Ev34DxC6LLESlUmHdujVISLgENzc3Y/sFSzGc3JSZmYk5c+Zg1qx56NLFdqeOuLk5Qia7+etv8rvJxo0bsXnzZlRVVUEikSA6Ohpr165FcXExPvrooyZNEvviiy9QWFiIoUOH1rn8jTfewOHDh7Fly5Z6t9FoNJg/fz6++uorzJ8/v95isQ2NZkRERODLL79s1vNriFbbvvs4xMX9hqysa+jQoUObbODl4OAALy8vXLuWibi4OPTvP1DskqgVVFdXY/PmDfjzz9/h7OyM8PBwqw1CBu7u7ggPD0dKSgo2bFiLp556BkOG3Cl2WWRmV66kY+PGd5GXlwtPT09jp2hL8/Pzg0wmQ0ZGBpYuXYTHH5+IIUPutJpDytbIpP+lnTt3Yv369Zg8eTI+/fSfM3iefPJJXL16FevWrWvS/axevRqHDx/GgQMHjD8AMGPGDCxbtqzB28yZMwdHjx7FmjVr6gUhpVKJAQMG1OtT9Ndff6Fr167Ne5I2RqfT4eDBfZBIJFaxGKupAgICIJFIcPDg52xC1g6UlZVh9erl+PPP3+Hm5mbVI0LXc3V1RUREBGQyGT7+eAsOHvyCZzu2U4Ig4KefvseyZW8gLy8X/v7+6NKli6ij0x06dDB+7n3yyVZs3boJVVVVotVj7Ux6V9mxYwemTp2Kl156CTqdznj5HXfcgZdffhkffPABFi5ceNP7aawVube3N/z8/KDT6VBUVARXV1coFArs27cPhw8fxpw5czBgwADk5/+zJouh38ygQYPwzjvvwNvbGyEhIfj222/x5ZdfYvPmzaY8VZtx8uQJ5OZmG9f8aqscHBzg7e2N7OwsnDr1K2699XaxSyIT5efn4e2330ReXi68vLysbkmYpnByckJkZCQuX76ML7/ch8LCQjz11NNtJtDRzZWWluCTT7bizz/PGU9zd3d3F7ssADWLCnfv3h2pqak4efIEkpMT8fTT/0ZkZHexS7M6Jr2zZGVlYcCAho+Bh4aGoqCgoEVFGWRnZ2Pw4ME4fPgwgJr5QACwatUqDB48uM6PYZvly5dj9OjReOONN3Dffffh8OHDePfdd3H77fxQbIxGo8HBg19AKpW2yblC1/tndOgLdgRuo9LT0+p8yxbrcENrUCgUiIyMhJOTE3799SesX7+G39DbAUEQEBd3EgsXzsGff56Dq6srunfvbjVByMDe3h6RkZHw9/dHYWEB3nprGfbs2WFsVEw1TPp6EhAQgD/++KPBM3YuXrzYog9UQzNHoOZU+tr//uijj256excXF8yfPx/z5883uQZb89NP36GoqBB+fn6ws7MTu5wWs7e3h6+vL3Jzc/Hzzz9g2LC7xS6JmuHixQvGFeg7depktt4slmRnZ4fIyEikpqbi4sULWLVqKV5+eTbc3Kzrg5OaprS0BDt3bsO5c2chlUrRqVMndOjQwWrn5BiWLvLw8EB6ejqOHz+KCxf+wKRJUzhK9D8mfdV66KGHsGnTJmzduhXp6ekAambQf/PNN9i8eTPGjh3bmjWSGalUKhw6dAAymaxNzxW6nr+/P2QyGb78ch8qKyvFLoea6OTJE1i37i1otRqEhYW1iyBkYGjM2KFDB2RkpGH58kXIz88TuyxqBkEQ8Ntvv2DBgtk4d+4sXF1d0aNHD/j4+FhtEKrN2dkZ3bt3h5+fH/LycrFq1VLs2vUxRyoBSAQTZvQJgoA33ngDn332mfHfhh3hvvvuw5tvvtlmh7Qbo9PpUVTU/GVGrN3nn/8fjhw5hKCgILOHofj4eKhUKjg5OaF7d/N/G8nOzkZWVhbuuecBjBv3iNkfj1rmu+++we7dn0AulyMsLMxia+JZer8UBAE5OTnIysqCu7s7XnllPoKDO5r9callSkqK8cknW3H+/B+QyWQICgoy22iQJfbJiooKZGRkoLKyEh06+LTbuUReXs5NOrXepDBkkJaWhlOnTqG0tBSurq7o378/IiIiTL07q9Yew1BBQT7+859ZkMmkiIqKMluA1Wq1yMvLQ05ODgRBgFwuR1RUlNknker1evz9998QBAHLlq2Gt3cHsz4emUYQBBw6tB8HD34BOzs7dO3a1aLLwFg6DBnk5eXh6tWrcHJywssvz0FYGM94tUaCIOD06VPYtWsbKioq4ObmZvaFgS21T+r1euTk5Bjfm4cPH4Vx4x5p0yfRXM8iYciWtMcwtGnTepw5cwpdunQxdvBubTqdDgkJCfWGYRUKBbp162b2DsJFRUVIS0vDwIG3YurU6WZ9LGo+QRDwxRd7ceTIITg4OKBr164WfyMWKwwBNftneno67O3t8fLLcxAR0c2ij083VlZWhp07t+Hs2TizjwbVZul9sqKiAunp6aiqqoKfnz+effZ5hIY2b41Ra9XUMGTSV/Pq6mrs3LkT586dMy6QWptEIsHHH39syl2ThSQlJeDMmVNwdnaGp6en2R4nOzu7wePRVVVVyM7ONnureE9PT+Tl5SEu7jcMG3Y3wsPb58hlWyQIAvbu3Yljx45CoVAgIiKiXUzgbw4vLy9IpVKkpqbinXdWYsaMWejePUrssgjAn3+ew8cffwilUgkXFxd07ty5XY2Y1GaYS5SVlYXc3BwsX74Io0ffj/vvH2czbSBMOi6yZMkSrFq1ChkZGRAEod4Pm91ZN71ejz17PgEAdOzY0azfcsrKyky6rrVIJBJ07FgzH2P37k+4b1oJQRCwZ88OHDt2FI6OjjYZhAw8PDwQFhYGrVaLdevewqVLF8UuyaZVVqrw0UcfYP36NSgvL0dwcDAiIiLabRAykEqlCA4ORmRkJOzt7fH11wfx3/8uxNWrV8QuzSJMinzHjh3Diy++iOnTedihLTpx4idcuZIBb2/vZq0lZ4rq6mqTrmtNzs7O8PLyQkZGGn799WfcfvtQizwuNUwQBHz22R589903xiBkK98+G+Pu7o6wsDCkpKRg/fo1mDlzLg+ZiSA+/m989NFmFBUVwsnJCZ07d7bo/DVr4OLigu7du+PatWvIzLyC//53AcaMeQijRt3b7k6Mqs2kZyaVShETE9PatZAFqNVV2L//M+Pxb1sRFBQEqVSK/fs/Y7MxkR048Dm++eZrKBSKNrW8hrkZFvXUaDRYu3YVUlKSxS7JZlRXV2P37k+wevVyFBcXITAwEN26dbO5IGQgk8nQqVMnhIeHQyqV4osv9uLNN5cgNzdH7NLMxqQwNGbMGHz+Odd+aouOHTsKpbIUvr6+NnVYwt7eHn5+figtLcF3330rdjk269ixI/jqqwM2O0foZtzd3REaGorq6mqsW/cWsrIyxS6p3cvISMOSJa/hu+++MZ7YYehib+vc3d3Ro0cPeHl5ISUlGYsWzcdPP33fLtfYM+lsMrVajTFjxkCr1SIqKqpeepZIJFi+fHmrFWkN2sPZZOXlZZg7dyZ0upr/N3OfyQUA58+fb3RJDLlcjt69e5u9BgOdToeLFy/Czs4eK1euNfshQqrr1Klf8eGH7xuXBzDnqcnNIebZZI0pLCxEeno6PD09MX/+IraFMAO9Xo8jRw7hwIGaL/a+vr7GEWSxWeM+WVxcjCtXrkCr1aJ3776YNOnZNtFB3axnk61evRppaWlwdHTEhQsX6l3PRG2dvvnmMKqqKtGxY0eLBCFrY+iynZmZiWPHjmDMmIfELslmJCRcwtatm4wLWVpDEDL0vzJ0KK+uroZWq7WKw3be3t7QarXIzMzE2rVv4T//eQOOjk5il9Vu5OfnYcuWjbh8OQn29vYICQmBm5ub2GVZNU9PTzg7OyMjIwPnz5/DwoVzMXnyVPTp01fs0lqFSX/1X375JSZNmoQ5c+ZYRYqmm9NoqvHTT99DLpejQwfb/Zbp4+ODnJwc/Pjjd7jnngd4mMYCcnNz8P77ayEIAsLCwqxiHoZOp0NiYmKdtg9arRaJiYkW6X/VFH5+fqiurkZWViY2bdqAGTNetYq62jJBEPDrrz9j9+6PoVar4enpiU6dOllFAG4L7O3tER4ejvz8fFy7dg3r16/BkCF34pFHnrCKv+uWMCnJ6HQ63HnnnQxCbciZM3GoqChHhw4dbPr/TSqVwtvbG2VlSvz++2mxy2n3VCoV1q1bjYqKCoSEhFhsiY2buVn/K2sRHBwMd3d3XLx4Hp99tkfsctq0/Pw8vP32m9i27QNotVp06dIFoaGhDELNJJFI4Ovri27dusHJyQk///wDFi6cg/Pnz4ldWouY9Kl4991348iRI61dC5nR998fA4B2tfClqQyvgeE1IfPQ6/XYunUTcnOz4efnB29vb7FLMhK7/1VTSSQSdOnSBQqFAseOHUFc3G9il9Tm6HQ6HD36FRYunINLly7WmRRMpnN0dERkZCQCAgJQUlKMd99dg02b3kVpaYnYpZnEpEjcu3dvrF69GgkJCYiJiak3EVUikbAHkRUpLCxAWloK3N3drWKuhtgcHBzg5uaGlJRkFBcXwdOTb4rmcOTIIfz55+9wdXW1ujYO1tD/qqlkMhnCwsKQkJCA7ds/RFBQMIKDO4ldltUTBAF//XUen366C9nZWbCzs0NoaCg8PDysdl6rNc9ja4hUKkVgYCA8PT1x5coVnDkTh7/+Oo977nkAd989CnZ2befzxqSzybp1u3EzMIlEgvj4eJOLskZt+WyyH344jp07t6FTp04WHxmyprPJajMskvnUU8/gjjuGiVJDe5aQ8DdWr14BOzs7dO/e3erezK11v7yRkpISpKSkwM8vAAsX/rfNz9Ewp8zMK9i7dxcuXboIiUSCDh06IDAw0Or2w9rEXsexpQRBQEFBAbKysqDVauHt3QEPPTQe/fsPEjV8mvVssoSEBFNuRiK5cOEPADU9I6iGu7s7rl69igsX/mQYamUlJcXYvHkDAHBORivy8PCAv78/cnKy8fHHW/Dvf79gtSMcYiktLcGBA5/jl19+hCAIcHNzQ3BwcJsIjmKv49hSEokEPj4+8PLyQk5ODnJz87B58wYcO3YUjz76hNWvC2nWmbQ6nQ7du3fH33//bc6HoRvQarVISLgER0dHHiKrxcHBAQqFAvHxF9k8tBXpdDps3rwBSqUSwcHB7OXUygIDA+Hi4oIzZ05xzlstarUahw7tx7x5r+Dnn38wdjfv2rVrmwhCQNuZx3YzhtUNoqJ6wNPTE6mpl7FixWJs3Pgu8vJyxS6vUWb/ytYeO1W2JVlZmaiurubE6Qa4uLj8b1j3GoKDO4pdTruwf/9nSEpKgKenJ/c5M5BIJAgNDUV8fDz27t2JLl3CEBoaJnZZojp//hx27NiG4uIi2NnZISQkBN7e3m1u1KwtzWNrCgcHB4SGhqK8vByZmZk4ezYOf/xxFqNH34977x1jdSPGtnuOtY1IS0sFADg5sWHb9QyjFmlpKSJX0j6cP38OR44cgkKhQEhISJv7MGor7Ozs0KVLF+h0OmzcuA7l5eVilySK8vJyfPjh+3j33TUoKSlGQEAAoqKi0KFDB+57VsTFxQWRkZEIDQ2FTCbDoUP7sWTJa0hPTxW7tDoYhto5wwc9D1fUZ3hNUlMvi1xJ21dUVIitWzdBKpUa3/TIfFxdXREYGIiiokJs27bZ5kbgk5ISsHDhbJw69SucnZ3RvXt3BAYGcr+zUhKJBJ6enujRowd8fHxw7Vomli59HV99dcBq9l2GoXYuIyMdUqkUCoVC7FKsjkKhgFQqxdWrGWKX0qbpdDps2rQeFRUV6NixY5uZo9HW+fv7w9XVFX/+eQ7Hjx8VuxyL+fPP3/H222+irKwMwcHBiIyM5D7XRshkMnTq1Mm4SPP+/Z9h9+6PrWLeJsNQO6bVanHtWiYcHR05bNwAiUQChUKBzMyrVvHH2FYdPfoVUlKS4eXlZVWNFds7Q0NGOzs7fP75/yEr65rYJZldXNxveO+9tdDpdAgPD4efnx/f29ogV1dXdOvWDY6Ojvj++2PYsmWj6O/BDEPtWE5ONnQ6Lb813YCjoyM0Gg1yc3PELqVNysq6hoMH98HOzg6dOnXiB5OFGV53rVaL7ds/FP0DxZyuXEnHRx9thlQqRUREBBdWbePs7OwQGRkJFxcXxMX9hqNHvxK1Hoahdiwz8woAMAzdgGFiueG1oubZuXMbdDotQkJCOF9DJB4eHvDy8kJKSjJ+/vkHscsxi8rKSmzc+C60Wi06d+7MOZDthKG7ur29Pfbv/wyJieI1a2YYascMw+YMQ40zzKW6di1T5EransTEeCQmxsPd3Z0NPUUWHBwMqVSKr78+2Ghn7bZs3769yMvLhb+/P/e1dkYul6NLly4QBAEffbQZarValDrMGoakUinGjh0LT09Pcz4MNcLwAc8w1DjDa5OVxTDUXIcO7QcABAQEiFwJ2dnZwcfHB0VFhfjtt1/ELqdVpaQk44cfjkOhUHBfa6dcXFzg5+eHgoJ8fPXVflFqMDkMFRUV4a233sLYsWMxePBgJCQkYMOGDTh+/LhxG4lEghUrViAwMLBViqXmyc6+BrlcbnXNrayJ4fWxhcmnram4uAjx8X/D1dWVhyyshJ+fHwDg1KlfRa6k9Wg0Gmzf/iEEQUBISAikUh7MaK8CAgLg4OCAo0e/RkZGmsUf36Q96+rVq7j//vvx6aefws/PD4WFhdDpdEhLS8OMGTPw448/tnKZ1Fx6vR75+XlwcHAQuxSrJpFI4ODggPz8vHY9+bS1nT9fs96dh4eHuIWQkZ2dHZydnZGcnNhuGjEeOrQfWVnX4OvrCxcXF7HLITOSSqUICQmBXq/HRx9ttvjhXpPC0MqVK+Ht7Y3vvvsOGzZsMDZNWrNmDYYNG4ZNmzaZVExaWhpiYmKwb9++RrcpLi7Gq6++iv79+2PAgAFYvHgxKisr62xz5MgRjB49GtHR0RgzZgxOnjxpUj1tWVFRIfR6PcNQE9jb20Or1aK0tETsUtqMS5cuAuDiv9bGw8MDer1e1ImoreXy5SQcOXIIDg4OPLpgI1xdXeHj44PMzKs4cOBziz62SWHo5MmTmDZtGtzc3OqdSvvoo48iOTm52fep0Wgwa9YsqFSqG243Y8YMZGRkYPv27Vi3bh1++uknLFq0yHj9qVOnMHv2bIwfPx779+9HbGwspk6dipQU21pyoaAgHwAYhprA8Brl5+eJXEnbkZWVCblczsV/rYzh7Mi2PgdOparABx9sgF6vR+fOnXmmog0JCgr63+Gyr4xfuizB5AOwjc1Dqa6uNqnXyPr16286DPrHH3/g9OnTWLlyJaKiohAbG4slS5bg4MGDyM2tWQ33ww8/xPDhw/HUU08hLCwMc+fORVRUFD7++ONm19SWFRcXAQA/rJrA8BoVFxeLXEnboNVqkZubAwcHB/YVsjKGsyPb+hy43bs/QWFhIQIDA3l4zMbIZDKEhoYCALZs2XjTAZLWYlIY6tevHzZv3lynSIlEAr1ejz179qBv377Nur8zZ85g7969ePPNN2+43dmzZ+Hj44OwsH9WaR4wYAAkEgl+//136PV6nDt3DrGxsXVuN3DgQJw5c6ZZNbV1ZWVlABoPrfQPw2tUXq4UuZK2oaSkGHq9nku8WCE7OztIJBLjyHBblJDwN06ePAEnJyf4+/uLXQ6JwMnJCQEBASgtLcGBA59Z5DFN+qR89dVX8dhjj2HEiBEYOHAgJBIJtm7dipSUFGRkZGD37t1Nvi+lUok5c+ZgwYIFNz1tMjc3t9429vb28PDwQHZ2NpRKJVQqVb0/IF9fX+TktLzDsFzeds5kqKiwnjD01ltvNXj5/PnzLVxJwwyvUUVFeZv6PxZLaWnNCJqdnZ3IlbSMte+XppBIJLC3t0dxcWGb3Zf/7/92AgBCQkJsbuSxPe6TpvLz80NRURG+//4Y7r57JAICzDtvzKRPyoiICHz++efYsGED4uLiIJPJ8Ntvv6F///5YuXIlIiMjm3xfixYtQkxMDO67776bbltZWdngYR8HBweo1WpUVVUBqH9oyHB9S0ilEnh6tp1TiLXamudrDWHI2hleI42mqk39H4tFra45U4mHYK2TnZ0dSkpK4OamaHNzbZRKJa5evQJ3d3fj/CeyTVKpFH5+fsjIyMDVq6no0aOrWR/P5E/KLl26YM2aNS168AMHDuDs2bM4dOhQk7ZXKBSorq6ud7larYaTk5NxIuz126jV6hY3HtTrBSiVljl22RqUygoAsIq+HLNnz27wcmsJaobXqKysAsXFFSJXY/2ysmrm57X1kSFr3y9NZWdnB0EQcOVKNjw82lbD20uXas6Cs9VGse11nzSVIRAnJCRhwIDBJt2Hm5sjZLKbfw42+RVu7pyb/v3733SbL774AoWFhRg6dGidy9944w0cPnwYW7ZsqXO5v79/naaOQE3wKSkpga+vLzw8PODk5IS8vLpnBeXl5RkbkrWEVtt2+tAYAqE1hCFrZ3iNqqur29T/sViKi0sAtP0w1F4Z/l+Kiorh4tK2Wh84ONSEIMMoP9k2w36gUDiZ/b25yWFowoQJ9Y7fGvoLGUgkEgiCAIlEgvj4m/e5WL16db2dfsSIEZgxYwbuv//+etv3798fq1evRkZGBkJCQgAAp0+fBgDccsstkEgk6Nu3L06fPo2HH37YeLu4uDj069evaU+0ndBoNABgc8fcTWEIQ4bXjG7M8DoxaFuntrw/d+rUGZ07d0FGRjrUajVbg9gwQRCQm5sLiUSCIUPuNPvjNTkMffLJJ63+4I2N1nh7e8PPzw86nQ5FRUVwdXWFQqFA79690bdvX8ycOROLFi2CSqXC66+/jjFjxhjva/LkyZg6dSp69OiBIUOG4IsvvkB8fDyWLVvW6vVbM35QNZ0h1EskfM2aQqfTAWDQtlaG/xfD/1NbIpFIMGrUvdi0aT0uX76MyMhImz1EZMsEQcDVq1ehUqnQv/8gdOjgY/bHbPJeNmDAgAYvr66uhlKphLu7e6sPm2dnZ+Ouu+7CihUrMG7cOEgkEmzYsAGLFy/GxIkT4eDggFGjRtWZaT948GAsX74c77//Pt555x2Eh4dj06ZNdU7HtwWGya16vb7NTaK0NMMyHPwW2jSurq4Aav72eXq99TGMCLm4uIpciWn69x+E9PQ0HD36FS5fvoyuXbvyPczGZGdnIz8/H506hWDixGct8pgmR+6ff/4Z77//Pi5cuABBECCTyXDLLbfgpZdeanafodoSExONvwcHB9f5N1AzavTuu+/e8D7GjBmDMWPGmFxDe1A7DNGNGV4jzoFpmqCgjgBqzu50c3MTuRq6XmVlJeRyOfz82m6PngcffBSlpSU4efIEkpKSEB4ezr9PGyAIAjIzM5GXl4cOHXzw8stzLDaZ3qTjAt988w3+/e9/Q61W44UXXsCiRYvw3HPPoaSkBE899RTOnj3b2nVSMzk51ZwibunF7toiw2tkeM3oxjp37gIAKC0tFbkSul51dTVUKhU6dQpp06MpUqkUkydPxR13DINKpUJiYiInVbdzer0eaWlpyMvLQ1BQR8yb9zrc3T0s9vgmjQy99957GDlyJNauXVvn8hdeeAEvvvgi1qxZgz179rRGfWQiw7fCqqoqODvzQ/5GDD2o2vI3aUvy8fFFVFQv/P33X1CpVOwHY0Xy8/MhCALuuOMusUtpMZlMhgkTnoanpxcOHPgciYmJCA0NNR6mpfZDo9EgJSUFFRUViIzsjhdemGnxL6cmjQxlZGTgoYceavC6Rx55pElnkpF5GT7YW9ps0hYYvnH6+9+4Azr9Y8SI0QCArKysemeVkjiqq6uRn58PNzc3DBx4q9jltAqJRIL77huLp5/+NwRBQHJyMgoLC8Uui1pRVVUVEhMTUVFRgUGDbsPMmXNFGaU3KQyFhYXhr7/+avC6tLQ0BAcHt6goajlD6/LKykqRK7F+hteIYajpoqJ6oXv3KJSWlqKoqEjscmyeIAjIyMiATqfD2LGPtLv5NbfdNgSvvjofTk5OSE9PZwhvJ8rKypCQkAC1Wo0HHngQzz77vGj7rklhaNGiRdixYwc2bdqEnJwc6PV6FBUV4dNPP8W7776L5557DllZWcYfsjx3dw/4+fmjrKyMbxo3oNfrUVZWhoCAQLi6cjJwU0kkEkyePBUKhSOuXr3KEUiRFRQUQKlUolevPrj99qFil2MWkZHd8Z//LIaPjy+ys7ORkZHB97Y2rKioCMnJyQAkmDJlGu6/f5yo7TpMmjP0yCOPAADWrl2LdevWGS837JjXtxTnYTNxREfH4NixIygvL+dx9kaUl5dDr9cjOjpG7FLaHG/vDnjyyUnYsmUjUlJSEBkZ2aYn7bZVZWVluHr1KlxcXDFx4rPtuv+Tv38AXnttMd59dw1SUy9Do9EgLCyMfdXamNzcXGRmZsLR0QkvvvgKIiO7i12SaWFo+fLl7foPrr2Iju6DY8eOoKSkhGGoEYYzoqKj+4hbSBsVGzsYGRlpOHbsKNLS0hAWFsb3BgtSq9VITU2FVCrFCy/MhKdn21qLzBSurm6YPfs1bN68Hn/+ec546j2bM1o/QRCQnZ2N7OxseHp64ZVX5iIw0Dqm1Zi094wbN6616yAziIjoBmdnFxQXFyM4OJgfUtcxHN51cXFFeHiE2OW0WQ8//Diysq7h77//QmZmJjp27Ch2STZBq9Xi8uXL0Gq1mDRpCrp2jRS7JIuxt7fH88+/hG3bPsCpU78iKSkJXbt2bXdzpdqT2j2EfH398Oqr8y3SWbqpTI7Subm5uHjxIsrKyhq83tabHloDuVyO2267Hd9+WzM6ZAvfGpujpKQEWq0WgwffwW+VLSCTyfDcczPw5ptLcO3aVdjb27fKwsjUOL1ej5SUFFRVVWH06Pva7TyhG5HL5Xjmmefg5OSE778/hqSkJERERDAQWSFBEHDlyhUUFBQgKKgjXn11PtzdrWsRYZM+AQ4fPox58+YZV0a/nkQiYRiyEnfcMQzffnsE+fn5DEPXKSgoAACLLALY3jk5OeHll2dj+fI3kJmZCTs7O3h5eYldVrskCALS0tJQXl6OQYNuw9ixj4hdkmikUikef3wi7Ozs8c03XyMxMRFdu3bl0jpWRBAEpKeno6ioCCEhXfDKK3OtcqkYk8LQ2rVrER0djfnz58PDw6OVS6LW5O8fiG7deiAh4RIqKyst1trc2lVWVqKsrAw9evRks8VW4uXljZdfnos331yM9PR02NnZca5aKzMsYFlSUoJu3Xpg8uSpNj95WCKR4OGHH4O9vT0OHdqPxMREhIeHt7lmoPb29o2uGGBYXqmt0el0SE1NhVKpRFhYV7z88hyr/X8x6a8oLy8PL7zwAqKiohAUFNTgD1mPu+8eBaDm/41q5ObmAgCGDx8lciXtS3BwR7z44quQSmVISUlhn6tWlpubi/z8fAQHd8ILL8zk4d3/qTka8RCeeGIStFotkpKS2txyMTf64tAWv1RUV1cjKSkJSqUSffrcglmz/mO1QQgwMQz16dMHCQkJrV0LmUl0dAz8/PxRWFhoXNHalmk0GhQVFSEgIBC9evUWu5x2JzKyO6ZOnQa9Xo/k5ORGD6dT8xQWFuLatWv/G4GbA0dH6/1gEcuwYXfj+edfglQqxeXLl3Ht2rU204soICAACoWi3uUKhQIBAW2rIWxpaSni4+OhUqlwxx3DMG3aS1Y/umXS14o33ngDzz33HMrLy9GrV68G017//v1bXBy1DqlUihEj/oUdO7YhPz8fgYGBYpckqry8PAiCgBEjRtv8IQZz6ddvIMaPL8aePTuQnJyMyMhIqxrFaGuHJJRKJTIyMuDs7IxXXpnH+X83cMst/eHruwTvv78WOTk5KC8vR+fOna1+HpFMJkNkZCTy8vKQk5MDQRAgl8vbVP8uvV6P7Oxs5OTkwM7ODpMmTWkzk/tNendKT09HQUEBNmzYAAB1TtkWBAESiYSNFq3MrbcOwf79nyM/Px9+fn5t5o+rtel0OuP6TbGxt4ldTrs2fPgoFBcX4ejRr5GSkoKuXbtaTfh0dXWFSqVq9DprUlFRgdTUVMjlcrz44qvGpXaocR07dsLrry/F9u1bcPZsHC5duoTAwED4+vpadYsRuVyOwMBAlJaWQqVSwd7e3qq+RNxIWVkZrly5gqqqKvj6+mHatJfQsWOI2GU1mUmv8sqVK9GpUydMmTIFHTp0aO2ayAzs7e0xfPhIHDjwOQoLC+Hr6yt2SaIoKCiATqfD8OGjYGdnfSMA7c2DD45HSUkJTp36FampqVbTlDEgIAClpaXGRXoNrO2QRFVVFS5fvgy9Xo/nn59hU72EWsrR0QnPPfciTp/uh927P0ZmZub/zmgKseq5K22NVqvFtWvXUFBQAIlEghEj/oUxYx6Cg0P9Q37WzKQwlJWVhU2bNuHWW9vHysi24s4778bhw4eQm5sLHx8fq/hQsiS9Xo+8vDwoFArceedwscuxCVKpFJMnT0V5eRkuXryAjIwMhISEiL7vtYVDEtXV1UhOToZWq8XEic8iJqaf2CW1ORKJBAMH3ooePXrh00934bfffkF8fDy8vb0RFBTEnkQtIAgC8vPzkZ2dDa1Wi+Dgjpg0aQq6dAkTuzSTmDRmHRERgezs7NauhczMxcUFd9xxJ6qrq21ypfGioiJUV1fjjjvugpOTs9jl2Ay5XI5p015CaGg4CgsLceXKFauY1Go4JGFoN2FNhyQ0Go1x8vm4cY+wF1YLubq64plnnsPs2f9BcHAnFBYW4u+//zYuNE5NJwgCSktLcenSJVy9ehV2dvYYP34CFi5c2maDEGDiyND8+fMxa9Ys6HQ69OnTBy4uLvW2sfVJutZq5Mh78P33x5GTkwMvLy/Rv6FbiiAIyMnJgVwux4gR/xK7HJvj4KDAzJlz8NZby3HlSjqkUimXiGmERqNBUlISqqqqcO+9Y3DPPQ+IXVK70a1bFN54YxlOnPgJ+/Z9imvXriE/Px9BQUHw9PTk/ngTKpUKmZmZKCsrg1QqxbBhI/DAA+Ossolic5kUhiZPngytVovXX3+90Z2HE6itk6enFwYPHoKffvoexcXFNtMluLi4GGq1GsOG3Q0PD56JIwYnJ2e8+uo8vPXWMmRmXoUgCOjYsSM/gGoxHBqrqqrCyJH3YMyYh8Quqd2RSqUYMuRO9O8/EIcPf4lvvz2CtLQ05ObmIjg42Oom0FuD6upqZGVlobCwEEDNwtYPP/yY1Syy2hpMCkOLFy9u7TrIgv71r/vwyy8/Iicnx+zfhqzhFGbDSslSqRSjRt1rkcekhrm4uGLWrNfw9ttv4sqVdOj1equYQ2QN1Go1kpOToVarMXr0fRg37lG+Lmbk6OiEBx8cj6FDh2Pfvk+NC756enoiODjYKlssWJper0dubq7xcGLHjiF45JHH0aNHT7FLa3UmhaGxY8e2dh1kQT4+vrj11ttx4sRPZh8dsoZTmIuKilBVVYU77hgGb2+e/Sg2V1dXzJ79H7zzziqkptacKdW5c2erOe1eDFVVVcY5QmPGPIR77x3DIGQh3t4dMGXKNNx997+wZ88nuHy5pnu1v78//Pz8bHa/LC0txdWrV6FWq+Hm5oYHHxyPW2+9vd2+Hi1atf7333+v011Wr9ejsrISZ8+exTvvvNMqBZJ53HffWPz22y/Izs426+iQ2KcwG0aFZDI5515YESenmuaBGza8jYSES9DpdAgLC2u3b7Q3olKpjGeNPfLIExg5crTYJdmkzp27YN6813Hq1K/49NPdxsNCnTt3bnBebHul0Whw5coVlJSU/K9h72jcf//Ydt/x3KQwdPToUcyaNQtardb4IWpotggAoaGhrVchmUWHDj64/fah+Omn71FUVARvb2+zPI7YpzAXFhYa5wpxVMi6ODo64uWXZ2PTpg3488/fkZycjPDwcKs5td0SysvLjX2E2lK33vZKIpEgNnYw+vS5BV9++QWOHTuKxMRE+Pj4ICgoqF3vm4IgoKioCJmZmdBqtYiI6IYJE55GYKBtrDVq0tewTZs2ISoqCvv27cO4cePwwAMP4Ouvv8bs2bMhk8nwn//8p7XrJDO4994xkMvlyM7ONuupzmKdwmxoDW9nZ4fRozkqZI3s7Ozx/PMzMGjQbSgvLzeOkNiCsrIyXL58GYIg4N//fpFByIo4Ojri0UefxH/+sxiBgUHIz8/HpUuXUF5eLnZpZqHVapGSkoL09HTI5XJMmPA0Zs9+zWaCEGBiGEpLS8OUKVPQo0cPDBw4EAkJCQgLC8PTTz+Np556Cps2bWrtOskMvLy8ceedw6FWq1FQUCB2Oa2uoKAA1dXVuPPOu7mWkxWTy+V45pnncNttd6CiosImApEhCAESTJ/+Mvr3Hyh2SdSA0NAwvP76Mtx77xhjywNzf3m0NKVSiUuXLqG0tBQ9evTEkiUrMXToXTZ3yNqkZyuVSuHu7g4ACAkJQWpqqrFx1ZAhQ/73R05twejR98Pe3gHZ2dntqvmYXq9HTk4OHBwcMHr0/WKXQzchlUoxadKzuOOOYVCpVLh8+TJ0Op3YZZmF4dCYVCrFiy/ORJ8+t4hdEt2AnZ0dxo59GHPnLoSnpxeysrKQlJQEjUYjdmktIggCrl27huTkZOj1ejzyyBOYOXOuzU4nMCkMhYaG4ty5c8bfq6urkZCQAKAmZdaeVE3Wzc3NHXffPQoajQb5+flil9Nq8vPzodFoMGLEaPYNaSOkUimefHKycYQoJSWlXQV0AMagBwDTpr2EXr36iFsQNVnXrpFYvHgF+vUbiPLycsTHx6OsrEzsskxiGOXKycmBr68fXnttMUaOHG1zo0G1mfTMx48fj3Xr1uGdd96Bq6srBg0ahPnz52PHjh1Ys2YNoqKiWrtOMqORI++Bo6MjcnJy28W3cZ1Oh5ycHDg6OrHbdBtjGCHq128gysrKkJaW1m4OSajVauNk6SlTpqF3775il0TN5OTkjOeeexFPPDERer3eGCja0j5aVlaG+Ph4lJeXo1+/gXj99aUICekidlmiMykMPfzww3jttdeMI0BLlixBdXU1li1bBq1Wi9dee63J91VYWIjZs2dj0KBBiImJwdSpU5GSktLgtuvXr0dkZGSDP/PnzzduN3ny5HrXT5gwwZSnahOcnZ0xYsRoaLXtY3QoLy8PWq0Wo0bdwzXI2iCpVIopU6ahe/eeKCkpQWZmptgltZhWq8Xly5eh0Wjw5JOTMGBArNglkYkkEgmGDRuBefPegJeXN65du4bU1FSr/yIpCALy8vKQnJwMnU6Hxx6bgOeee7HdnzLfVBLBxEhbXl6OiooK+Pn5QaPRYPv27cjOzsaoUaMwYMCAJt/P+PHjodfrsWDBAjg7O2PdunX4448/8O233xrPPjKoqKio18Bv27Zt2LNnD/7v//4PkZGRAIBbb70VL774IoYP/2dlcjs7O3h4eJjyVAEAOp0eRUUVJt/e2qlUKsyd+xKqq6vRs2dPs5xCGh8fD5VKBScnJ3Tv3r3V7x+oGRW6ePEiHBwUWLlybb19iNoOlUqFN99cjGvXMtGxY0f4+vqa5XHMvV8KgoCkpCSUl5fjX/+6Dw89NL7VH4PEUVZWhs2b1yM+/m8oFAqEhYVBoVC0+H5be5/U6/XIyMhAUVER3NzcMW3aS+jaNbLF99sWeHk5Qya7+biPSSND58+fx5133omdO3cCAJYuXYq3334bX331FSZNmoTvvvuuSfdTWlqKoKAgLF26FNHR0QgLC8O0adOM6fV6zs7O8PHxMf7k5+fjk08+weuvv24MQoWFhSgsLETv3r3rbNuSIGQLnJycMGrUvdBqtcjLyxO7HJMZRoX+9a97GYTaOCcnJ7z88hy4ubkbF4dsi65evWo8JDFu3CNil0OtyNXVFTNnzsWoUfegqqoKCQkJUCqVYpdVh2F+UFFREcLCuuL115fZTBBqDpPC0Nq1axEWFoZHHnkElZWVOHjwIB577DGcPn0aDz30UJNPrXd3d8eaNWsQEREBoGbZhO3bt8Pf3x/h4eE3vf2SJUvQr1+/OsuDJCYmQiKRoEsXHgNtrmHDRsDZ2QV5eXlWP+TbEJ1Oh9zcXLi4uGLYsLvFLodagZeXN6ZPnwmpVIbU1FSo1WqxS2qW/Px85Ofno1OnEDz99L9teoJqeyWTyfDww49jypRpkEgkuHz5stV8oVSpVEhISEBFRQVuu+0OzJ79GtuMNMLkkaHnn38eHTt2xK+//gq1Wo0HHqhpajd69OgGR3VuZuHChYiNjcXXX3+NZcuWwcnpxscxf/jhB/zxxx+YO3duncuTkpLg6uqKJUuWYMiQIRg1ahTWrl3LM9yawNHREaNG3dNmR4dyc2smgP/rX/fBwaHlQ9VkHcLDu2LChMnGxnBt5Qyz8vJyXL16FS4uLpg+fSYcHBzELonMaNCg2zB37kK4urrh6tWruHbtmqgTq5VKpbEFwCOPPI7Jk6fAzs5OtHqsnUltgKVSqfEP+5dffoGbmxuio6MB1LwBmHLMdOLEiXj00Uexa9cuTJ8+Hbt3777hWWnbtm3DnXfeWe94alJSEtRqNaKjozF58mTEx8dj1apVyMrKwqpVq5pdV21yefv/VjdixCh8881h5ObmwsfHxyKdoluDIcC5urrh7rvvton/K1ty553DcPVqOr777hgyMjLQuXNnq17IVKPRIDU1FRKJBC+88DL8/f3ELoksICIiAosWLcVbb61AdnYWNBoNQkJCLL6vFhUVGbtJv/DCy+jbt59FH78tMumTrmfPnvjss8+gUChw9OhRDB06FBKJBIWFhfjwww/Rs2fPZt+n4bDYsmXLcP78eezcuRMrVqxocNusrCzExcXhgw8+qHfdkiVLMHfuXGNTyIiICNjZ2WHmzJmYM2cOOnQwraGUVCqBp6ctnJnkjIcffgjbtm1DXl4eAgMDxS6oSQyjQo8++gj8/c2zzhqJa9q055CZeQWJiYlwdnY224TqlhIEAampqdBoNJg8eTJuvbXpJ5RQ2+fp6Yy33lqFJUuWICkpCXq9Hl26dLFYICoqKkJaWhqcnJywcOFCtrppIpPC0OzZs/Hss8/i66+/hpeXF55//nkAwL333gu9Xo+tW7c26X6Kiopw8uRJjBw50jgCIZVKER4efsPDNMePH4eXlxduu+22etfJ5XJjEDLo2rUrACAnJ8fkMKTXC1AqVTffsB2Ijb0D+/btQ15eHnx9fa1+dEij0SAvLw+enp4YOPB2FBe337P+bN3zz8/A66//B5mZmXB0dLTKhpqGCdMDB8bijjvu5v5ok2SYNWs+1qxZicTEBEilUouMEBUXFyM9PR1OTk6YN28BAgM72/z+5+bm2KSzyUz6lIuKisKxY8eQkpKCrl27Guf3LFq0CH379oWPj0+T7qegoACvvPIKtmzZgttvvx1AzQfbpUuXMGzYsEZvd/bsWQwYMKDBD+kJEyYgODi4zqjSX3/9BTs7O3Tu3LkZz7I+rbZtzFVoKZnMDvfcMwa7d3+MnJwcBAcHi13SDeXk5ECv1+Oee8ZAKpXbzP+TLXJ19cD06S9j1aqlSE1NRbdu3axqLk5BQQHy8/MRHNwJEyc+C51OANB2GvJR65HJ7PHii7Pw9tsrkJqaArlcbtb3UkOTUnt7B7zyyjwEBYXwvbAZTJ5Y4eLigt69e9eZ6Dxy5MgmByGg5hDWkCFDsHTpUpw5cwZJSUmYN28elEolJk2aBJ1Oh/z8fFRVVdW53aVLl9CtW7cG73PkyJE4ePAg9uzZg6tXr+Lw4cNYtWoVnnnmGbi4uJj2ZG3QkCF3wtu7A/Ly8qx68rlarUZ+fj46dPDhqt82Ijw8Ak88McnYyNBaznwsKyvDlStX4OzsghdemMlJ/ARHR0fMnDkXgYFByM3NNVtT26qqKqSmpkIqleGll2ahS5cwszxOeyb6LNO3334bsbGxmDlzJh5++GGUlJRg165dCAwMRHZ2NgYPHozDhw/XuU1+fn6jfYOefPJJvPbaa9ixYwdGjx6N1atXY9KkSXjppZcs8GzaD8PihIIgICsrS+xyGpWVlQVBEDBu3KNWfziPWs8ddwzDiBH/Mn4IiL0cQu0PoxdffAU+PtY5n4ksz8nJGS+9NNt4lllr9yEyfCnQarV4+umpiIw0T0Pb9s7kDtS2pr13oG6IXq/H4sWvITPzCnr06NHiJoat3VVVpVIhPj4enTp1xsKF/2UPFxuj1+vx3nvv4M8/z8Hb29vkORkt3S81Gg0SEhJQXV2NKVOmYdCg+nMZiVJSkrFy5VJIJED37t1hb2/f6LZN3ScFQcDly5ehVCpxzz0PsKlnA8zagZpsg1QqNS4dcO3aNZGrqc9Q00MPjWcQskFSqRRTp05HaGgYCgsLRRnB1Ol0SE5ORnV1NcaOfZhBiBoVFtYVTzwxsVX7ZWVnZ0OpVKJXr94YM+ahVqjSdvEThG6oZ89odO8ehdLSUqtaDkGpVEKpVCIqqheionqJXQ6JxMFBgRkzZsPPLwA5OTkWbRaq1+tx+fJlVFZW4q67RuCeex6w2GNT23THHcNw++1DoVKpWrwAsVKpRHZ2Njp08MGUKdP5hbCF+OrRDUkkEjz88GMAgMzMTNHnZgA1Q8OZmZn/q+1xscshkbm6uuKVV+bCw8MTV69eRVFRkdkfUxAEpKWloby8HP37D8L48ROsugkkWY/HH5+I4OBOyM/PR3FxsUn3odFokJaWBplMjmnTXoKzsy30wDMvhiG6qZCQLhg06DaoVCqT/3hbU3FxMSorKxEbOxgdO3YSuxyyAh06+OCVV+bByckJ6enpKC0tNdtjCYKAK1euoKSkBFFRvfDss8/zWzk1mb29PaZNewkODg7IyMho9tm6giAgPT0dWq0W48c/iZAQrsPZGvgXTE0yZsxDkMlkxrO3xKLX65GVlQWZTM5j5FRHUFAwXnppDuRyOdLS0lBZWWmWx8nNzUVBQQE6dw7FtGkv8yxGajY/P388/vhE6HQ6pKWlNes9NT8/H0qlEn369MWddw43Y5W2hWGImsTHxxdDh94FtVqNgoIC0eooLCyEWq3GsGF3w9vbtG7i1H6Fh3fF1KnTjfN5NBpNq95/cXExrl27Bm9vb8yYMcukdRiJAOC224bgllsGoLy8vMnvqWq1GteuXYOrqxsmTZrCQ7OtiGGImuyee8bA3t4B2dnZoqwcrtfrkZ2dDYVCgXvuud/ij09tQ9++/fHgg4+iurq6VXsQVVVVIT09HQpFzaTt65f9IWoOiUSCJ56YBEdHJ1y7du2mwV0QBFy9ehV6vR6PP/4UXF3dLFSpbWAYoiZzd3fH8OEjoNFoUFhYaPHHLygogEajwV13jeQbAd3QqFH3on//gSgvL0dOTk6L70+v1yM1NRV6vR7PPPMcgoM7tkKVZOvc3d3x0EPjodPpkJ2dfcNty8rKUFpaiqioXujff5CFKrQdDEPULHff/S/Y2dkhNzfXonOHBEFAbm4u7O3tcffd/7LY41LbJJFIMGHCM/D09EJ2djZUqpYtspydnY3Kykrccccw9O3bv5WqJKpZ+sjPzx8FBQWNTqauvRLAww8/xsNjZsAwRM3i5uaOIUOGQa1WW+QUZoPCwkJUV1dj6NC7rHKlcrI+zs7OeOaZ54yHF0wN72q1Grm5ufD27oBHH32ilaskWyeVSnH//eMgCEKjfbIqKipQUVGBvn37oWPHEAtXaBsYhqjZRo26B1Kp1GKjQ4Y3CZlMhhEj7jH741H70b17FPr06Yvy8nKTT7c3nEH54IPjufgqmUW/fgPh4uKCoqKiBt9TDdMS7rprhKVLsxkMQ9RsXl7euOWW/qisrERFhfnXaysvL0dlZSX69RsIT09Psz8etS8PPVRzWMGUuUOGEdDOnbtgwADO0yDzkMvlGDjwNmg0mnqd/gVBQHFxMby8vBERwUVYzYVhiExy110jAcAiyx8YHoPfisgUAQGB6N07BhUVFc2eO5Sfnw8AGDHiHs7TILO65ZaauWjXj2CWl5dDp9MhJqYfm3uaEV9ZMkl4eAQ6dQpBSUlJq/dyqa26uholJSXo3LkLQkPDzfY41L7deefdAP4JN02h1+tRWFgINzc34wcVkbmEhXWFg4MDlEplncsN/+7ZM1qMsmwGwxCZRCKRYOjQ4RAEwayn2Rvue+jQ4fxmTibr0aMnPDw8UVJS0uR5bmVlZdBqtRg0aDC7TJPZyeVyRER0Q1VVVZ19tLy8HFKpFF27RopYXfvHMEQmGzBgEOzt7VFQUGCWidSGoOXg4MC+GtQiUqkU/foNhFarrTcnozGGdfj69x9oztKIjAyBR6fTAah5D1SpVOjYMQSOjo5iltbuMQyRyRwdnTBgQCzUanWTP2Cao6ysDGq1GgMH3splD6jF+vUbAAAoKSm56baCIKC0tBSenl7o0iXMzJUR1QgL6woAxg7/er0eer3eeDmZD8MQtcjttw8FALMcKjOs13P77Xe2+n2T7QkNDYezszNKS0tvOpJZUVEBrVaL3r1jeHiWLKZz51BIJJJ6+2dYGOdLmhvDELVIWFhX+PsHoqSkxDi02xq0Wi1KSkoQGBiELl1CW+1+yXbJZDL07Nkb1dXVqKqquuG2hjN6oqP7WKAyohoKhQKBgUEQBAFubm6wt7cHUBOSyLwYhqhFJBIJbr/9Duj1+lbtSG1oPjZ48FB+M6dW06tXbwCod8bO9ZRKJWQyObp162GJsoiMQkK6QK/Xo2PHjtBqtVAoFPD19RO7rHaPYYhaLDZ2MKRSqfGwVmsoLCyEVCpFbOxtrXafRD17RkMikdywG7VGo4FKpUJkZDd2nCaLCw7uBABQqVSoqqpCcHAn9heyAL7C1GLu7h7o1asPVCoVKisrW3x/KpUKKpUKffr0hZubeytUSFTD1dUNISGdjY3sGvJPX5feliyNCEBNk1CgZj8UBMH4bzIvhiFqFYMH3wGgdSZSG+7DcJ9EralXrz4QBKHRMyANo0aGQ2pEluTn5w/gn1Du6+svZjk2g2GIWkV0dB+4uLiisLCwRT2HDHOP3Nzc+c2czMKwXzU0b8gQkry9O/AbOYnC09MLAIyd/b28vMQsx2YwDFGrkMvlGDToNmi12ptOTr0RpVL5v66/t0Emk7VihUQ1QkPDGj3F3nBKfa9efThxn0Rhb28PJydn4789PLg4tSUwDFGriY0dDKBlh8oMZ6TdeuvgVqmJ6HpSqRQ9e0Y3eIq9IcjzEBmJydXVtdbvbiJWYjsYhqjVhIR0RkBAIEpLS03qOaTT6VBSUoKgoI7o2DHEDBUS1YiKqln08vp5QzWn1Mt4Sj2JytnZucHfyXwYhqjVSCQSDBx4K/R6/Q1PXW6MYRHNQYNuNUN1RP/o0aMXgLrzhgRBQEVFBcLDI7j8C4mq9mEyhiHLYBiiVnXLLU1f/+l6htv07du/FSsiqs/T0xP+/oEoLy83zhsyjGZyVIjEVjsM2dnZi1iJ7WAYolYVGBgEf/8AlJaWGhcbbAq9Xg+lUmm8PZG5RUREQqfTGcOQYX+NiIgUsywirlAvAqsIQ4WFhZg9ezYGDRqEmJgYTJ06FSkpKY1u/+WXXyIyMrLeT2ZmpnGbI0eOYPTo0YiOjsaYMWNw8uRJSzwVAtC3bz/o9fpmrWSvVCqh1+s5KkQWEx4eAeCfESG9Xg+JRIIuXbgoJomLYcjyrCIMTZ8+HRkZGfjggw/w+eefQ6FQYNKkSY12M05MTMSAAQNw4sSJOj8BATUjCqdOncLs2bMxfvx47N+/H7GxsTcNWNR6btTHpTGG4NSzZ7RZaiK6XqdONZP0a48M+fsHwMHBQcyyiKBQMAxZmuhhqLS0FEFBQVi6dCmio6MRFhaGadOmIS8vD8nJyQ3eJikpCZGRkfDx8anzY+hL8+GHH2L48OF46qmnEBYWhrlz5yIqKgoff/yxJZ+azQoNDYe9vX2zR4YcHBzQpUuYGSsj+kdAQBBkMlmdw7k8i5GsAdfEszzRw5C7uzvWrFmDiIiaIeuioiJs374d/v7+CA9veLg6MTERYWENf2jq9XqcO3cOsbGxdS4fOHAgzpw507rFU4Ps7OwQEdENlZWVxi6qN6LRaFBVVYVu3XpALpdboEKimkahHTr41Gm8aFgKgUhMcjkbzlqaVX3yLFy4EJ9++ins7e2xceNGODk51dumtLQUubm5OHv2LHbv3o3i4mJER0dj9uzZ6NKlC5RKJVQqFfz9676p+fr6Iicnp0X1yeWiZ8c2o3v3Hrh48QLKy8vh6XnjDqrl5eUA8L8wxNeYLMfHxxe5uTlQKBSoqqqCn58f90ESXe1V6rk/WoZVhaGJEyfi0Ucfxa5duzB9+nTs3r0bUVFRdbYxHDoTBAErVqxAVVUVNm7ciMcffxyHDh2CVqsFUNPSvDYHBweo1WqTa5NKJfD0ZL+HpoqJicZnn/0fKioqmhyGYmJ68TUmiwoI8MPFizW9XKqqqhASEsR9kETn5PTP5xf3R8uwqjBkOCy2bNkynD9/Hjt37sSKFSvqbNOvXz+cPHkSnp6exrWDNmzYgKFDh2Lfvn14+OGHAQDV1dV1bqdWq1s0Q1+vF6BUqky+va3p0CEAUqkUFRUVN922oqICMpkM3t4BKC6++fZErUWhqPmgUalq/ralUgfugyQ6leqfzy/ujy3j5uYImezmo2uih6GioiKcPHkSI0eONM4XkUqlCA8PR15eXoO3uX4VX0dHRwQHByM3NxceHh5wcnKqd9u8vDz4+fm1qFattul9c2ydTGaP4OBOyMy8AkEQGl30UhAEqFQqhIR0gVQq52tMFmVY98lw5qqzsyv3QRJd7Un93B8tQ/SDkQUFBXjllVfq9AHSaDS4dOlSg5Ok9+7di4EDBxq/yQE1h1nS09MRHh4OiUSCvn374vTp03VuFxcXh379+pnviVA9nTt3gV6vr7cYZm2VlZUQBAGdO4dasDKiGi4u/yyCKZFI4OzsImI1RCQW0cNQREQEhgwZgqVLl+LMmTNISkrCvHnzoFQqMWnSJOh0OuTn5xs/UIcMGQK9Xo85c+YgOTkZf/31F1588UV4eXlh3LhxAIDJkyfj66+/xrZt25CSkoJVq1YhPj4eEydOFPOp2pyQkC4AUCe4Xs9wXefOXSxSE1FttVcHd3JyrjNxlYhsh1X85b/99tuIjY3FzJkz8fDDD6OkpAS7du1CYGAgsrOzMXjwYBw+fBgAEBAQgO3bt0OlUuGxxx7DpEmT4Orqik8++cTYLG3w4MFYvnw59uzZg7Fjx+LUqVPYtGlTo6fjk3kYAs6N5g0ZwlCnTp0tURJRHS4u/4wEGQ6ZEZHtEX3OEFDz7WzRokVYtGhRveuCg4ORmJhY57KoqCh89NFHN7zPMWPGYMyYMa1YJTVXUFAwpFJpo53EgZowJJPJEBQUbMHKiGq4uPwzMlR7lIiIbItVjAxR+2RnZ4+AgCDjvKDrCYKAyspKBAYGs9kiiaJ2AKodjIjE1fAJJ2Q+DENkVp06hUCn09VrdQDUtDvQ6/XGNaKILM3O7p9+LrUPmRGRbWEYIrMyrPXU0CRqw+Gzjh07WbQmooY4ObG5HZGtYhgiszIEnYbmDRkCEsMQWYOGlv8hEkf9aQVkXgxDZFY3CkOGy4KDGYZIfI6ODENEtophiMzK1dUNbm7ujYYhDw8PTlwlq2BnZyd2CUQkEoYhMrvg4I5Qq9V1zigzTKrmqBBZi8aWjCGi9o9hiMzO0EOo9no7ho7igYHsL0TWofb+SUS2hWGIzC4oqCMA1BkZMhw2Y7NFshYcGSKyXQxDZHYBAYEAGhsZChKlJqLrNdQYlIhsA8MQmZ2fXwCAuh82hjBkuI5IbBwZIrJdDENkdq6urnB2dq43MmS4nMgacGSIyHYxDJFF+PkFGD9sBEFAdXU1/Pz8Ra6K6B8cGSKyXQxDZBEdOvgYfxcEAYIgoEMHXxErIiIiqsEwRBbRoUMH4++GESJv7w6NbU5kcTxMRtbCcGLJrbfeLnIltkMudgFkG2oHH4YhskY8TEbWIjKyB156aTbCw7uKXYrNYBgii/Dw8DL+bghDnp5ejW1OZHEcGSJrIZFIEB3dR+wybAoPk5FFuLu7G383fOjUvoyIiEgsDENkEe7uHsbfDWHIzc2j4Y2JiIgsiGGILMLV9Z+V6Q1hqPZlRGLjnCEi28UwRBZhZ2df58PG3t4BcjmnrBERkfgYhshiHB2dIJVKIZPJ2HmaiIisBsMQWYy7uztkMhkEQYCTk5PY5RAREQHgqfVkQQqFAjqd7n+/O4pcDVFdPLWeyHYxDJHFODgojIu1Ojg4iFwNUV2cQE1ku3iYjCymdgBycFCIWAlRfQxDRLaLYYgsxt7evsHfiawBD5MR2S6GIbIYOzuGIbJeHBkisl0MQ2QxdnZ2Df5OZA04MkRku6wiDBUWFmL27NkYNGgQYmJiMHXqVKSkpDS6fXJyMqZOnYqBAwciNjYWM2bMQFZWlvF6nU6H6OhoREZG1vlZv369JZ4ONaL2aFDtUSIia8CRISLbZRVnk02fPh16vR4ffPABnJ2dsW7dOkyaNAnffvstHB3rnoJdXFyMyZMno2/fvtixYweqq6vx5ptv4tlnn8X+/fvh4OCA9PR0qNVqHDx4EN7e3sbbsreNuDgyRNaMI0NEtkv0MFRaWoqgoCD8+9//RkREBABg2rRpeOCBB5CcnIzo6Og62x8/fhwqlQqrVq2CQlFzRtJbb72FoUOH4ty5c4iNjUViYiJcXFzQrVs3iz8fapxczjBE1osjQ0S2S/Qw5O7ujjVr1hj/XVRUhO3bt8Pf3x/h4eH1to+NjcX7779vDEIAIJXWHO1TKpUAgMTERISFhZm5cmqu2ofGagcjIiIiMYkehmpbuHAhPv30U9jb22Pjxo0NHtYKDg5GcHBwncs++OADKBQK9O/fHwCQlJQErVaLZ555BgkJCfDz88PEiRPxwAMPtKg+udwqpli1WQrFP2HIwcGerydZhaefnoq9e3ejT58+3CeJbJRVhaGJEyfi0Ucfxa5duzB9+nTs3r0bUVFRN7zNjh07sHPnTixYsABeXl4AaiZY6/V6zJgxA/7+/vjpp58wf/58aDQaPPTQQybVJpVK4OnJxUVbwt3dxfi7h4cLX0+yCmPG3Iv77x9tHGEmIttjVWHIcFhs2bJlOH/+PHbu3IkVK1Y0uK0gCFi3bh02btyI559/HhMmTDBe99VXX0Gn0xlXRu/WrRuysrKwdetWk8OQXi9AqVSZdFuqodEIdX4vLq4QsRoiImrv3NwcIZPd/IuO6GGoqKgIJ0+exMiRIyGX15QjlUoRHh6OvLy8Bm+j0Wgwf/58fPXVV5g/fz4mTZpU5/ra84kMIiIi8OWXX7aoVq1W36Lb2zqZ7J/dTSqV8/UkIiKrIPq4cEFBAV555RWcPHnSeJlGo8GlS5canQQ9Z84cHD16FGvWrKkXhJRKJQYMGIB9+/bVufyvv/5C165dW71+arraZ5CxAzUREVkL0UeGIiIiMGTIECxduhRLly6Fu7s7Nm/eDKVSiUmTJkGn06GoqAiurq5QKBTYt28fDh8+jDlz5mDAgAHIz8833perqyvc3NwwaNAgvPPOO/D29kZISAi+/fZbfPnll9i8ebOIz5Rqn03GU+uJiMhaiD4yBABvv/02YmNjMXPmTDz88MMoKSnBrl27EBgYiOzsbAwePBiHDx8GUDMfCABWrVqFwYMH1/kxbLN8+XKMHj0ab7zxBu677z4cPnwY7777Lm6//XbRniOx6SIREVknicC2q02i0+lRVMQJvy2RlpaCpUtfBwC8/voyhIR0FrcgIiJq17y8nJs0gdoqRobINtTtQC36EVoiIiIADENkQbUPjbEDNRERWQuGIbIYQ+uE638nIiISE8MQWUztPkMMQ0REZC0Yhshiageg2sGIiIhITAxDZDEymazB34mIiMTEMEQWU/v0xqac6khERGQJ/EQii5FKZQ3+TkREJCaGIbKY2ofGpFLuekREZB34iUQWI5FIGvydiIhITAxDZDEMQEREZI0YhoiIiMimMQwRERGRTWMYIiIiIpvGMEREREQ2jWGIiIiIbBrDEBEREdk0hiEiIiKyaQxDREREZNMYhoiIiMimMQwRERGRTWMYIiIiIpvGMEREREQ2jWGIiIiIbBrDEBEREdk0hiEiIiKyaQxDREREZNMYhoiIiMimMQwRERGRTbOKMFRYWIjZs2dj0KBBiImJwdSpU5GSktLo9sXFxXj11VfRv39/DBgwAIsXL0ZlZWWdbY4cOYLRo0cjOjoaY8aMwcmTJ839NKgJ7rtvLB544EGxyyAiIjKSCIIgiF3E+PHjodfrsWDBAjg7O2PdunX4448/8O2338LR0bHe9hMmTEBlZSUWL14MpVKJ1157Df3798fKlSsBAKdOncKzzz6LOXPm4LbbbsPnn3+OnTt34sCBAwgLCzOpRp1Oj6KiihY9TyIiIrIcLy9nyGQ3H/cRfWSotLQUQUFBWLp0KaKjoxEWFoZp06YhLy8PycnJ9bb/448/cPr0aaxcuRJRUVGIjY3FkiVLcPDgQeTm5gIAPvzwQwwfPhxPPfUUwsLCMHfuXERFReHjjz+29NMjIiIiKyd6GHJ3d8eaNWsQEREBACgqKsL27dvh7++P8PDwetufPXsWPj4+dUZ4BgwYAIlEgt9//x16vR7nzp1DbGxsndsNHDgQZ86cMe+TISIiojZHLnYBtS1cuBCffvop7O3tsXHjRjg5OdXbJjc3FwEBAXUus7e3h4eHB7Kzs6FUKqFSqeDv719nG19fX+Tk5LSoPrlc9OxIRERErcyqwtDEiRPx6KOPYteuXZg+fTp2796NqKioOttUVlbC3t6+3m0dHBygVqtRVVUFAPW2MVxvKqlUAk9PZ5NvT0RERNbJqsKQ4bDYsmXLcP78eezcuRMrVqyos41CoUB1dXW926rVajg5OcHBwQEA6m2jVqsbnIzdVHq9AKVSZfLtiYiIyLLc3BybNIFa9DBUVFSEkydPYuTIkZDLa8qRSqUIDw9HXl5eve39/f1x/PjxOpdVV1ejpKQEvr6+8PDwgJOTU73b5uXlwc/Pr0W1arX6Ft2eiIiIrI/ok2AKCgrwyiuv1OkDpNFocOnSpQZPg+/fvz9ycnKQkZFhvOz06dMAgFtuuQUSiQR9+/Y1XmYQFxeHfv36melZEBERUVslehiKiIjAkCFDsHTpUpw5cwZJSUmYN28elEolJk2aBJ1Oh/z8fONcoN69e6Nv376YOXMmLly4gFOnTuH111/HmDFjjCM/kydPxtdff41t27YhJSUFq1atQnx8PCZOnCjmUyUiIiIrZBVNF8vKyrBmzRocP34cZWVl6NevH+bNm4euXbsiMzMTd911F1asWIFx48YBqOlYvXjxYvzyyy9wcHDAqFGjMH/+fON8IQA4cOAA3n//feTk5CA8PByzZ8+ud7p9c7DpIhERUdvS1KaLVhGG2gKGISIioralzXSgJiIiIhITwxARERHZNIYhIiIismmcM9REgiBAr+dLRURE1FZIpRJIJJKbbscwRERERDaNh8mIiIjIpjEMERERkU1jGCIiIiKbxjBERERENo1hiIiIiGwawxARERHZNIYhIiIismkMQ0RERGTTGIaIiIjIpjEMERERkU1jGCIiIiKbxjBERERENo1hiIiIiGwawxA1S1xcHCIjI5GZmWn2xyouLsbgwYMRFxdX53K9Xo93330Xt99+O/r06YMpU6bg6tWrZq+HrJcl9svvv/8eDz74IGJiYjBs2DCsXLkSVVVVxuvVajUWL16M2NhYxMTE4NVXX0VRUZHZ6iHrZol98vDhw7jvvvsQHR2N4cOH48MPP4QgCMbr+V7ZDAJRM6jVaiEvL0/QarVmfZycnBxh7NixQkREhHDq1Kk6161fv14YOHCg8MMPPwjx8fHC008/LYwYMUJQq9VmrYmsl7n3yzNnzgjdu3cXNm7cKKSlpQk//vijMGTIEGHevHnGbebNmycMHz5cOHPmjHD+/HlhzJgxwhNPPGGWesj6mXuf/Pnnn4Xu3bsLn3zyiXDlyhXhm2++Efr06SNs377duA3fK5uOYYiszmeffSYMGDCgwTCkVquFmJgYYdeuXcbLSktLhejoaOHQoUNilEs24NVXXxUmTZpU57L9+/cLUVFRglqtFnJycoRu3boJP/74o/H61NRUISIiQjh37pylyyUb8MUXXwjvvPNOncumTZsmTJkyRRAEvlc2Fw+TUT0//fQTxo0bh969eyM2Nhbz5s1DaWkpgLpDv/v27UNkZGSDP9euXQMApKSkYMqUKYiJicHgwYPx6quvIj8//4aPf+zYMcycORPr1q2rd11CQgIqKioQGxtrvMzNzQ09evTAmTNnWvFVIGsj5n759NNPY+7cuXUuk0ql0Gg0KC8vx++//w4AGDRokPH6Ll26wM/Pj/tlOybmPjlu3Di8/PLLAGoOh/322284c+YMbrvtNgB8r2wuhiGqo6ioCC+88AIefPBBHD58GBs2bMCZM2ewatWqetuOHj0aJ06cMP4cPHgQ3t7eGDduHIKCgpCbm4vHH38cISEh+Pzzz7Fp0yaUl5fj0UcfhUqlarSGzZs3Y/z48ZBIJPWuy8nJAQAEBATUudzX19d4HbU/Yu+XPXr0QLdu3Yz/1mg02L59O3r27AkvLy/k5ubC09MTDg4OdW7H/bL9EnufNMjKykKvXr0wefJk9OrVC4899hgAvlc2l1zsAsi65Obmorq6GoGBgQgKCkJQUBA2bdoEnU5Xb1uFQgGFQgGgZvLoCy+8gNDQUCxevBgAsGfPHvj7+2PBggXG26xduxaDBg3C0aNHMW7cuGbXV1lZCQCwt7evc7mDg4PxGxm1P9a0X2q1WsyZMwfJycnYtWsXgJr98vp9EqjZL9VqtcnPm6yXteyTbm5u+Oyzz5CRkYGlS5dizpw5WLt2Ld8rm4lhiOro3r077r33Xjz33HPw8fHBbbfdhqFDh+Luu+9u9DaCIGDu3LkoKirCp59+avzju3TpEpKTkxETE1Nne7VajZSUFJPqM7yhVFdXG3833Kejo6NJ90nWz1r2y/Lycrz88ss4ffo0NmzYgOjoaAA1+2V1dXW97blftl/Wsk+6uLigR48e6NGjB3Q6HV599VXMnj2b75XNxDBE9axZswbTp0/Hzz//jN9++w2zZ8/GLbfcgo8//rjB7deuXYsTJ05g79698PT0NF6u1+sxaNAgvPHGG/Vu4+rqalJthiHfvLw8dOrUyXh5Xl4eIiMjTbpPahvE3i/z8vIwZcoUXLt2DVu3bkX//v2N1/n7+6OkpATV1dV1vonn5eXBz8/PlKdLbYCY++TZs2dhb29vDOQAjO+BeXl5fK9sJs4ZojrOnz+P5cuXIzQ0FJMmTcIHH3yA5cuX49SpUygsLKy3/f79+7FlyxasXbsWYWFhda7r2rUrUlJSEBAQgJCQEISEhMDd3R3Lly9HUlKSSfV169YNLi4udXoPKZVKXLp0qc6HE7UvYu+XpaWlmDhxIoqKirBr1656+9ott9wCvV5vnEgNAGlpacjNzeV+2U6JvU9+8sknWL58eb2a5HI5OnfuzPfKZuLIENXh4uKC3bt3w87ODo888gjUajUOHz6Mzp071/kmAwCnT5/GwoULMWvWLPTo0aPOmQ+urq54/PHHsXfvXsyaNQvTpk0DAKxcuRKJiYmIiIgwqT57e3s8+eSTWL16Nby8vBAUFIS33noL/v7+GDFihOlPnKya2PvlihUrcPXqVWzZsgVeXl517tPLywt+fn645557sGDBAixfvhyOjo544403MGDAAPTp06f1XxASndj75KRJk/Dkk0/inXfewbhx43Dp0iW89dZbeOqpp4yPz/fKppMIQq12lUQAfvjhB2zYsAGpqamQSqUYNGgQ5s6di06dOiEuLg5PPfUUvvvuO2zYsAH79+9v8D5WrFhh/ANds2YNzp07B5lMhr59+2LOnDkIDw+/aR2ZmZm466678Mknn2DgwIHGy3U6Hd5++23s27cPVVVV6N+/P15//XUEBwe32mtA1kes/VKn0yEmJqbRidDfffcdgoODoVKpsHz5cnzzzTcAgCFDhmDBggX1Phip/RD7vfKXX37B2rVrcfnyZXh5eWH8+PGYMmUKpNKagz58r2w6hiEiIiKyaZwzRERERDaNYYiIiIhsGsMQERER2TSGISIiIrJpDENERERk0xiGiIiIyKYxDBEREZFNYxgiIpswb948DBs2TOwyiMgKsekiEdmEK1euoLy8HD169BC7FCKyMgxDREREZNN4mIyI2o2LFy9i4sSJuOWWWxATE4NJkybhzz//BFD3MFlcXBwiIyMb/JkwYYLx/pKSkvDvf/8bffv2Rd++fTF9+nRcvXpVjKdGRGbEVeuJqF0oLy/Hs88+i0GDBmH9+vWorq7Gxo0b8cwzz+DHH3+ss21UVBT27t1b57KvvvoKO3bswEMPPQQASEtLw/jx4xEaGoqVK1dCq9Vi48aNeOyxx3Dw4EF4e3tb6qkRkZkxDBFRu3D58mUUFxfjqaeeQt++fQEAoaGh2Lt3LyoqKups6+Ligj59+hj/ff78eXz66aeYNGkSHnjgAQDAhg0b4OjoiO3bt8PFxQUAEBsbi+HDh2PLli2YO3euZZ4YEZkdwxARtQtdu3aFl5cXnnvuOYwaNQq33347brvtNsyePfuGt8vJycH06dMRExODOXPmGC8/deoUBgwYAIVCAa1WC6AmRPXr1w+//fabWZ8LEVkWwxARtQvOzs7YtWsXNm7ciCNHjmDv3r1QKBR44IEHsGDBggZvU1lZiWnTpsHe3h5r166FTCYzXldSUoLDhw/j8OHD9W7n5eVltudBRJbHMERE7UZoaCjeeust6HQ6XLhwAQcPHsSePXvQqVOnetsKgoB58+YhNTUVe/bsgaenZ53rXV1dceutt2Ly5Mn1biuX862TqD3h2WRE1C4cPXoUgwYNQn5+PmQyGWJiYrBo0SK4ubkhKyur3vYbNmzA0aNHsXTpUnTv3r3e9QMGDMDly5fRvXt39OrVC7169ULPnj2xfft2HDt2zBJPiYgshF9viKhd6Nu3L/R6PaZPn46pU6fC2dkZR44cQVlZGUaMGIEDBw4Yt/3222/x3nvv4d5770VoaCjOnz+P2i3X+vTpg2nTpmH8+PH497//jcceewwODg7Yu3cvjh8/jnfffVeEZ0hE5sKmi0TUbly4cAHr1q3DxYsXUVlZia5du+K5557D3XffjXnz5uH06dP4/vvvMW/ePOzfv7/R+0lMTAQA/P3333jnnXdw7tw5CIKAiIgITJ06FXfddZelnhIRWQDDEBEREdk0zhkiIiIim8YwRERERDaNYYiIiIhsGsMQERER2TSGISIiIrJpDENERERk0xiGiIiIyKYxDBEREZFNYxgiIiIim8YwRERERDaNYYiIiIhsGsMQERER2bT/B8D2+hR/YdAeAAAAAElFTkSuQmCC"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.violinplot(x=\"size\", y=\"sample_mean\", data=sim_result, color='gray')"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:30.746126Z",
     "end_time": "2024-04-16T17:14:31.019526Z"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "### 9. 样本均值的标准差小于总体标准差"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "outputs": [
    {
     "data": {
      "text/plain": "array([  2,   4,   6,   8,  10,  12,  14,  16,  18,  20,  22,  24,  26,\n        28,  30,  32,  34,  36,  38,  40,  42,  44,  46,  48,  50,  52,\n        54,  56,  58,  60,  62,  64,  66,  68,  70,  72,  74,  76,  78,\n        80,  82,  84,  86,  88,  90,  92,  94,  96,  98, 100])"
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 公差为 2 的样本容量, 范围是 2 到 100\n",
    "size_array = np.arange(start=2, stop=102, step=2)\n",
    "size_array"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:31.018525Z",
     "end_time": "2024-04-16T17:14:31.026503Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "outputs": [],
   "source": [
    "# 存放样本均值的标准差的容器\n",
    "sample_mean_std_array = np.zeros(len(size_array))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:31.026503Z",
     "end_time": "2024-04-16T17:14:31.030396Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "outputs": [],
   "source": [
    "# 改变样本容量的同时计算样本均值的标准差\n",
    "np.random.seed(1)\n",
    "for i in range(0, len(size_array)):\n",
    "    sample_mean = calc_sample_mean(size=size_array[i], n_trial=100)\n",
    "    sample_mean_std_array[i] = np.std(sample_mean, ddof=1)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:31.030396Z",
     "end_time": "2024-04-16T17:14:31.244241Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "outputs": [
    {
     "data": {
      "text/plain": "Text(0, 0.5, 'mean_std value')"
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(size_array, sample_mean_std_array,\n",
    "         color='black')\n",
    "plt.xlabel(\"sample size\")\n",
    "plt.ylabel(\"mean_std value\")"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:31.245236Z",
     "end_time": "2024-04-16T17:14:31.404962Z"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "### 10. 标准误差"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "outputs": [
    {
     "data": {
      "text/plain": "array([0.566, 0.4  , 0.327, 0.283, 0.253, 0.231, 0.214, 0.2  , 0.189,\n       0.179, 0.171, 0.163, 0.157, 0.151, 0.146, 0.141, 0.137, 0.133,\n       0.13 , 0.126, 0.123, 0.121, 0.118, 0.115, 0.113, 0.111, 0.109,\n       0.107, 0.105, 0.103, 0.102, 0.1  , 0.098, 0.097, 0.096, 0.094,\n       0.093, 0.092, 0.091, 0.089, 0.088, 0.087, 0.086, 0.085, 0.084,\n       0.083, 0.083, 0.082, 0.081, 0.08 ])"
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 样本均值的标准差的理论值：标准误差\n",
    "standard_error = 0.8 / np.sqrt(size_array)\n",
    "standard_error"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:31.404962Z",
     "end_time": "2024-04-16T17:14:31.408838Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "outputs": [
    {
     "data": {
      "text/plain": "Text(0, 0.5, 'mean_std value')"
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(size_array, sample_mean_std_array, color='black')\n",
    "plt.plot(size_array, standard_error, color='black', linestyle='dotted')\n",
    "plt.xlabel(\"sample size\")\n",
    "plt.ylabel(\"mean_std value\")"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:31.410837Z",
     "end_time": "2024-04-16T17:14:31.568395Z"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "### 12. 样本方差的均值偏离于总体方差"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "outputs": [],
   "source": [
    "# 存放方差值的容器\n",
    "sample_var_array = np.zeros(10000)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:31.568395Z",
     "end_time": "2024-04-16T17:14:31.571910Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "outputs": [],
   "source": [
    "# 取出 10 个数据并求其方差, 执行 10,000 次\n",
    "np.random.seed(1)\n",
    "for i in range(0, 10000):\n",
    "    sample = population.rvs(size=10)\n",
    "    sample_var_array[i] = np.var(sample, ddof=0)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:31.571910Z",
     "end_time": "2024-04-16T17:14:32.147768Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "outputs": [
    {
     "data": {
      "text/plain": "0.575"
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 样本方差的均值\n",
    "np.mean(sample_var_array)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:32.148769Z",
     "end_time": "2024-04-16T17:14:32.156550Z"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "### 13. 采用无偏方差消除偏离"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "outputs": [
    {
     "data": {
      "text/plain": "0.639"
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 存放无偏方差的空间\n",
    "unbias_var_array = np.zeros(10000)\n",
    "# 进行 10,000 次计算10个数据的无偏方差操作\n",
    "#\n",
    "np.random.seed(1)\n",
    "for i in range(0, 10000):\n",
    "    sample = population.rvs(size=10)\n",
    "    unbias_var_array[i] = np.var(sample, ddof=1)\n",
    "# 无偏方差的均值\n",
    "np.mean(unbias_var_array)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:32.158542Z",
     "end_time": "2024-04-16T17:14:32.732060Z"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "### 14. 样本容量越大，其无偏方差越接近总体方差"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "outputs": [
    {
     "data": {
      "text/plain": "array([    10,    110,    210, ...,  99810,  99910, 100010])"
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 公差为 100 的样本容量, 范围是 10 到 100,010\n",
    "size_array = np.arange(start=10, stop=100100, step=100)\n",
    "size_array"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:32.731059Z",
     "end_time": "2024-04-16T17:14:32.739863Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "outputs": [],
   "source": [
    "# 存放无偏方差的容器\n",
    "unbias_var_array_size = np.zeros(len(size_array))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:32.739863Z",
     "end_time": "2024-04-16T17:14:32.743440Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "outputs": [],
   "source": [
    "# 在样本容量变化的同时反复计算样本的无偏方差\n",
    "np.random.seed(1)\n",
    "for i in range(0, len(size_array)):\n",
    "    sample = population.rvs(size=size_array[i])\n",
    "    unbias_var_array_size[i] = np.var(sample, ddof=1)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:32.746442Z",
     "end_time": "2024-04-16T17:14:33.940594Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "outputs": [
    {
     "data": {
      "text/plain": "Text(0, 0.5, 'unbias var')"
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(size_array, unbias_var_array_size, color='black')\n",
    "plt.xlabel(\"sample size\")\n",
    "plt.ylabel(\"unbias var\")"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:33.936622Z",
     "end_time": "2024-04-16T17:14:34.157933Z"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "### 19. 补充：中心极限定理"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\HP\\AppData\\Local\\Temp\\ipykernel_13344\\3971047700.py:13: UserWarning: \n",
      "\n",
      "`distplot` is a deprecated function and will be removed in seaborn v0.14.0.\n",
      "\n",
      "Please adapt your code to use either `displot` (a figure-level function with\n",
      "similar flexibility) or `histplot` (an axes-level function for histograms).\n",
      "\n",
      "For a guide to updating your code to use the new functions, please see\n",
      "https://gist.github.com/mwaskom/de44147ed2974457ad6372750bbe5751\n",
      "\n",
      "  sns.distplot(count_coin, color='black')\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Axes: ylabel='Density'>"
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 样本容量与试验次数\n",
    "n_size = 10000\n",
    "n_trial = 50000\n",
    "# 正面为 1, 背面为 0\n",
    "coin = np.array([0, 1])\n",
    "# 出现正面的次数\n",
    "count_coin = np.zeros(n_trial)\n",
    "# 投 n_size 次硬币, 此实验进行 n_trial 次\n",
    "np.random.seed(1)\n",
    "for i in range(0, n_trial):\n",
    "    count_coin[i] = np.sum(np.random.choice(coin, size=n_size, replace=True))\n",
    "# 绘出直方图\n",
    "sns.distplot(count_coin, color='black')"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:34.157933Z",
     "end_time": "2024-04-16T17:14:38.990884Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-04-16T17:14:38.990884Z",
     "end_time": "2024-04-16T17:14:38.995306Z"
    }
   }
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
